Amie and Taylor each wrote a function that represented the same parabola. f(x) = - (x + 2) (x – 4) f(x) = -1 (x – 1)² + 9 1. Does the parabola open up or down? 2. Sketch a graph of the parabola on the coordinate plane:

Q: A chameleon is attempting to catch a fly that is flying along a parabola from left to right.…

A:

Q: Find a formula for the parabola shown below. 3- 2 (-1,0)|| (7,0) 5 4 -3 -2 1 1- 4 5 8 -3 40 (0, -4}…

A:

Q: find the vertex and the x-intercepts (If any) of the parabola. (If an answer does not exist, enter…

A: The function for the parabola is given by, y=3x2-8x-3

Q: Graph ƒ(x) = 1/(1 - x) and its quadratic approximation at x = 0. Then zoom in on the two graphs at…

A: Given:

Q: Use your knowledge of reference points to write a function for a unique parabola that satisfies the…

A: NOTE: Refresh your page if you can't see any equations. . the function has only an x-intercept…

Q: The is where the parabola crosses the x-axis. It is also called the zero of a function root, or…

A: We have to answer the following question using the given graph.

Q: Consider the following function. p(x) = x² + 8x + 12 Step 3 of 4: Find two points on the graph of…

A:

Q: Find an expression for the function whose graph is thegiven curve.   The bottom half of the parabola…

A:

Q: Which of the following is true about the parabola for the function Ax) = - 9(x + 6) - 8? c. The…

A: Given function :

Q: a. For what values of a and b will x 2 f(x) = be differentiable for all values of x? b. Discuss the…

A: Part (a)   Given:

Q: On one set of coordinate axes, graph the family of parabolas f(x) = x2 + bx + 1 for b = - 4, b = 0,…

A: Consider the given general form of the equation. fx=x2+bx+1 Put b=-4 in the equation. fx=x2−4x+1 Put…

Q: Find an equation for the graph sketched below 2 -5 -4 -3 -2 -1 I2 3 4 5 -2 -3 -4 -5 -6 -7 f(x) = %3D…

A:

Q: Draw the graph of a parabola that matches the given description. f(x)=ax2+bx+c, a>0;b2-4ac>0

A:

Q: A. y = x + 3 B. y = 0.5x? – 2 | C. y = 3(x + 2) D. y = -2x + 1

A: We know that the general equation of parabola is , y - k = a ( x - h )2

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

A: f(x)=-10x2The new parabola has vertex (5,7)

Q: Consider the following function. r(x) = (x – 5)2 + 2 Step 3 of 3: Find two points on the graph of…

A: rx=x-52+2 The vertex is 5, 2 & there are no x-intercepts for the given parabola. To find two…

Q: The graph below shows 6 different parabolas. Each of these functions can be written in the form f(x)…

A: When b2-4ac=0, f(x) will have same roots.

Q: What is the axis of symmetry of the parabola f(x) = -2(x + 1)2 + 4? %3! X = -2 x = 1 Ox = 4 Ox = -1

A:

Q: x2 - 9 f(x) = %3D x2 + 4x + 3

A: Given fx=x2-9x2+4x+3

Q: We know that the graph of the quadratic function f(x) = (x -m)(x - n) is a parabola. Sketch a rough…

A: Given that the graph of the quadratic function fx=x-mx-n Sketching the rough graph of given…

Q: Answer the following questions for the quadratic f(x) = 2(x + 1)² – 3. %3D a) Axis of symmetry…

A:

Q: Consider the following function. p(x)=x2+5x+4 Step 3 of 3:  Find two points on the graph of the…

A: Consider the following function. p(x)=x2+5x+4 Find two points on the graph of the parabola…

Q: Find the vertex and the x-intercepts (If any) of the parabola.  (If an answer does not exist, enter…

A: The x intercept can be determine by outing y=0

Q: What is the piece-wise equation and domain for the 2nd section of the graph? f(x) 3 -5 -4 -3 2 3 4…

A:

Q: Consider the following function. t(x)=(x−4)2+7 Step 3 of 4:  Find two points on the graph of the…

A:

Q: Graph the parabola : f(x)= x^2-x-6 Please show all your work step by step

A:

Q: Consider the following function. a(x) = (x – 4)(x + 2) + 9 Step 3 of 3: Find two points on the graph…

A: The given function is: a(x)=(x-4)(x+2)+9...(1) To find two points in the graph of the parabola other…

Q: Fine the vertex, axis, x-intercepts, and y-intercepts of the given function, and graph the parabola…

A: The given function,

Q: Consider the following function. t(x)=(x−4)2+4

A:

Q: Determine the equation of the parabola graphed below. Provide your answer below: f(x) =+x+0 6.

A: From the picture we see that the vertex is at (3,2)So the equation of the parabola is in the format…

Q: The graph below shows 6 different parabolas. Each of these functions can be written in the form f(x)…

A:

Q: The graph of y = x^3 is translated to create a cubic function f(x) with x-intercepts at (-4,0),…

A: Given   x-intercepts are (-4,0), (-1,0) and (4,0).   Therefore factors are (x+4) , (x+1) and (x-4)…

Q: The vertex of y (x+ 5} - 3is (,3). If the graph of the function y x' is ranslated three units up and…

A: Topic = Functions Statement 3 , 4 and 5 , all are false

Q: If a graph is a parabola ['horseshoe' shape] opening up with a vertex [starting point] at (-5, -7)…

A:

Q: 4. Find the attributes for the quadratic function. Graph the parabola on the given grid. y =, (x +…

A: Given: The quadratic equation y=19 x+32-3 To determine: Attributes for the given quadratic equation…

Q: 1. Which of the following is true about the parabola for the function 2 f(x) = - 2(x − 7)² – 9? - a)…

A: We have to find the option

Q: g(x)=(x-1)2-9 Step 3 of 3 :   Find two points on the graph of the parabola

A: Given function is, g(x)=x-12-9

Q: Which is true of the graph of the parabola whose equation is y = x - 2x - 8? The x-intercepts are at…

A: Answer

Q: Consider the following function. g(x) = (x – 5)² – 4 Step 3 of 3: Find two points on the graph of…

A: Here we find two points on the graph other then vertex and x-intercept.

Q: f(x)- 2x+16X+ 27

A:

Q: Consider the following function. g(x) = x² + 6x + 5 Step 3 of 4: Find two points on the graph of the…

A:

Q: What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

A:

Q: f(x) = – x² - 10x – 9 Find the following for this parabola: A) The value of f( – 5): -

A:

Q: Consider the following function. q(x)=(x−2)2-6 Step 3 of 4:  Find two points on the graph of the…

A: Given functionq(x)=(x-2)2-6 To find two points on the graph of the parabola other than the vertex…

Q: 6 Given above is the graph of an upward opening parabola whose y intercept is at (0, 6) and whose x…

A:

Q: 1. Find the vertex, axis of symmetry, and x-intercepts for the following parabolas: a. f(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A: The solution is as shown below

Q: Be sure to show your work for the following questions. (a) Find the range of y = 2x2 + 6x – 4; (b)…

A: (a) To find: range of y=2x2+6x-4. (b) To find: the formula of a quadratic polynomial that passes…