The vertex of the quadratic function f(x) = 2(x – 1)2 + 6 is

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: The Range of the quadratic function f(x) = -x² + 18x + 52 is O [-9, 00) O [52, 0) O (0,9] O (-∞0,…

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Q: The graph of the quadratic function f(x) = cx2 + d has a vertex at (0,7) and passes through the…

A: Given quadratic function is- fx=cx2+d Since, y=fx Hence, y=cx2+d Since, the graph has a vertex at…

Q: Find the standard form f(x) = a(x – h)²+k__of the quadratic function that has zeros of 9. and and…

A: The standard form of the quadratic function is f(x)=a(x-h)2+k. This form has zeros at 15 and 95.…

Q: Find a quadratic function f whose graph matches the one below. f(x) =D (-2,3) (0,1) of

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Q: -1 -2 |(1, -2) -3 -6 -8 -9 -10 -4 -3 -2 Enter the rule for the quadratic function shown in the graph…

A: Using our general form of the quadratic, y = ax2 + bx + c, we substitute the known values for x and…

Q: Find the maximum or minimum value of the quadratic function g1x2  2x2  6x  3.

A: The given quadratic function is g(x)=2x2+6x+3

Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-1) = 5, f(1) = 3, and f(2) = 5.

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Q: State the circumstances that cause the graph of a quadratic function               f(x)= ax2+bx+c to…

A: An x-intercept is a value at which the graph of the quadratic equation function intersects the…

Q: 3 . Write the quadratic function C(x) - x -x- 57 in vertex f c(x) c(x) = (x- 1) - 6 リ4 c(x) - c(x) -…

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Q: The graph of the quadratic function f(x) = cx2 + d has a vertex at (0,8) and passes through the…

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Q: 2. The quadratic function y =9-x² +4x written in standard form would be (1) y=-x² +4x+9 (3) y=x²…

A: Answer (2) We have to write the quadratic function  y = 9 - x^2 + 4x in standard form

Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

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Q: Consider the Quadratic function f(x)=2x2−15x−8f(x)=2x2−15x−8. What is its vertex? What are the…

A: Given, quadratic function: fx=2x2-15x-8

Q: 1. To put the quadratic function f(x) ax? + bx + c in %3D standard form, we complete the

A: Fill the blank

Q: find the vertex of the quadratic function a. f(x)= 3(x+1)^2-4 b. f(x)= 2x^2-12x+1

A: The quadratic equation represents the equation of a parabola.The vertex of the parabola in the form…

Q: Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the equation of the…

A: To find:- Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the…

Q: 4. a. Construct a quadratic function with zeros at x = 1 and x = 2. b. Is there more than one…

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Q: The quadratic function f(x) = a(x – hỷ² + k, a + 0, form. The graph of f is called a/an whose vertex…

A: A quadratic function is a second-degree polynomial function and the general form of a quadratic…

Q: Find the maximum value of the quadratic function f(x)= – x² +2x+7.

A: for maximum value of f(x) put f'(x)=0.

Q: 15(a). Consider the quadratic function f(x)=x²-2x-3. (1) Find the vertex and the intercepts of the…

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Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

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Q: Select the graph of the quadratic function below. g(x)=2(x +3)2-1 20 20 16 16 12 12 8. 4 4 0. (A -4…

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Q: The y-interceptof the quadratic function f(x)=x² - 9x+5 is a) 5 b) -9 c) 1 d) по у - intercepts %3D…

A: We have to find y intercept

Q: Use the vertex  (h, k)  and a point on the graph  (x, y)  to find the general form of the equation…

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Q: 1. Express the quadratic function f1x2  x2  x  6 in standard form, and sketch its graph.

A: Given: f(x)=x2−x−6

Q: Rewrite the quadratic function f(x) = x2+ 10x – 9 in standard form, f(x) = a(x - h)2+ k, and give…

A: Given function is f(x)=x2+10x-9

Q: 15(a). Consider the quadratic function f(x)=-x² - 4x + 5. (i) Find the vertex and the intercepts of…

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Q: Find the vertex of the graph of the quadratic function. f (x) = -x² + 12r – 36 O (0, 6) O (-6,0) O…

A: Given quadratic function

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

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Q: Consider the Quadratic function f(x) = x² – 4x – 32. Its vertex is ( Its smallest x-intercept is x =

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Q: Find the standard formf (x) = a(x – h)² + k of the quadratic function that has a vertex at (-2, 5)…

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Q: Find a quadratic function f whose graph matches the one given.

A: Find a quadratic function f whose graph matches the one given.

Q: the vertex of Quadratic function f( x ) = 2x2 - 4x +1 is : Select one: a. (1,-1) b. (-1,1) O c. (-1,…

A: We will find the vertex by completing the square

Q: Identify the quadratic function from the graph -2 -4 -3 -2 -1 2 4 a) f(x) = x² – 4x + 5 b) f(x) = x²…

A: Consider the quadratic equation given in part (a), fx=x2-4x+5 from the graph, it can be observed…

Q: The vertex of the quadratic function f(x)= (x+6)^2 -2 is

A: The general form of the quadratic function is, y=ax-h2+k Here, (h,k) is the vertex. Consider the…

Q: Define a quadratic function y = f(x) that satisfies the given conditions. Vertex (-5, 5) and passes…

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Q: Express the quadratic function f(x) = x² – x - 6 in vertex form, and sketch its graph (showing…

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Q: For the graph of the given quadratic function f(x) = ax² + bx + c... 10 11 -10

A: we know that for upward parabola coefficient of x2 is positive so, a is positive now, by graph we…

Q: 15(a). Consider the quadratic function f(x)=x2- 2x-3. (i) Find the vertex and the intercepts of the…

A: (a)  To find: The vertex and intercepts of the function: Given: The quadratic function is…

Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-2) = -4, f(1) = 2, and f(2) = 0.

A: fx=ax2+bx+c,  f-2=-4,  f1=2  and f2=0. Now put f-2=-4 in fx=ax2+bx+c, we get…

Q: Find the standard form f(x) = a(x – h)² +k__of the quadratic function that has a vertex at and an X…

A: Given that: vertex =-12,-19 and x-intercept =-32,0. To find the standard form of the quadratic…

Q: Identify the quadratic function from the graph y -2 -3 -2 -1 2 a) f(x) = x² – 4x + 5 b) f(x) = x2 –…

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Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2(x -…

A: For y=a(x-h)2+k vertex (h,k)

Q: 11. Given the quadratic function f (x) = 2x2 – 12x + 14 Express the equation in standard form (also…

A: The standard form or vertex form of an equation is given by y=ax+h2+b, where x, y are variables and…

Q: The quadratic function f (x) = 2x2 - 8x + 6 %3D opens [ Select ] * with a y-intercept Select] and an…

A: By sketching graph

Q: Express the quadratic function -2x+3+x into the form a(x+p)' +q

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Q: The vertex of the quadratic function f(x) = 2x² + 8x+5 is a) (2,3) b) (-2,–3) c) (-2,3) d) (2,-3)

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Q: Select the graph of the quadratic function below. gx)=-(x-1)2+6 20 20 16 16 12 12 8. B. 4 4. 1O|に O…

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Q: Sketch the graph of the quadratic function. f(x) = x² + x - 4 y -10 -5 -10 40 20 -20 -40 5 10 y 40…

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.