What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y = x2 – 3x + 2   B. y = x2 – 2x – 3   C. y = x2 + 3x + 2   D. y = x2 + 2x – 3   Exhibits

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

A:

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x? but with vertex ( - 5,3)…

A: In this question we have to write the equation of the parabola that has the same shape as f(x)=-6x2…

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the…

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Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: 66. One parabola at the right has the equation y-&-4)+ 2. Which equation represents the second…

A: Solution is given as below:

Q: Which of the following equations represents the parabola

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Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: Q2: A particle move on the path has parabola shape with equationf (x) = a + bx + cx²; Find the…

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Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

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Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

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

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Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: The equation of the parabola that has a vertical axis of symmetry, touches the line y= 6 and has its…

A: Your 3rd option is your correct option...detailed solution I have done step by step in…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.