1. Describe an algebraic method for determining the x-intercepts, if any, of a parabola which equation is y=ax² + bx + c.

Q: 11 Write the equation of the parabola that has "a" value 3 and y-intercept 6. 0/1

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Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: 3. Select the parabola that matches the quadratic relation y = x + 3x + 2. a. C. b. d.

A: We have to find

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: Find an equation for the indicated half of the parabola.Left half of (x + 3)2 = y + 2

A: We have the given equation of parabola   the equation is (x + 3)2 = y + 2   we have to find the…

Q: What is the y-intercept of the following parabola?

A: The question is taken from the parabola in which we have to find the y-intercept of the given…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,4), (-1,0),…

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Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: We’ll answer the first question  . Please submit a new question specifying the one you’d like…

Q: Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine…

A: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is…

Q: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

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Q: Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

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Q: Sketch the parabola and line on the same graph. y = x + 4 and y = 2x + 2 %D

A: Consider the given parabola y=x2+4 and the line y=2x+2. Use online graphing calculator and sketch…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

Q: b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the…

A: Clearly shows the turning poin of the quadratic equation is (10, -50)

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

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Q: Find the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: What is the axis of symmetry of the parabola with equation (y - 1) = 4 (x – 1) ?

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Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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Q: A parabola has its turning point at x = -4 and one of the x-intercepts is x = -3. What is the x…

A: Given Data: The x coordinates of the turning point of the parabola is: x=-4 One of the x-intercepts…

Q: Is and directrix of the parabola: (y-7)²-6(x+9)

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: The equation of the line touching both the parabolas y = 4x and x' =-32y is x-2y+1 = 0, then a is

A: Introduction :

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

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Q: If the parabola whose equation is x = ay2 + by + c has its vertex at (3,2) and a> 0, then it has…

A: The given statement is that" if a parabola whose equation is x=ay2+by+c has its vertex at 3,2 then…

Q: Find the points of intersection of the parabola with equation 2x + y² + 4y – 2 = 0 and the line…

A: Here we find the intersecting point of parabola and the line.

Q: Find the x intercepts of the parabola y=3x^2+10x+8

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Q: The value of the "x" coordinate of each point of intersection between the parabola of the equation…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: What is an equation of the axis of symmetry of the graph of the parabola y=2x^2+3x+5. A y=-3/2 B…

A: Option D Is correct answer

Q: Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and…

A: topic  -  parabola

Q: 1) What is the turning point of the parabola whose equation is y 2x2 + 4x - 3?

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Q: The coordinates of the turning point of the parabola whose equation is y = x – 6x + 8 are A (3,35) ©…

A: Given,  Equation of parabola: y= x2 - 6x + 8 We need to determine the coordinate of turning point…