4) Find the vertex, directrix and graph the parabola (x-2)² = -20(y-1)

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 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: What is the vertex equation of a parabola with a vertex at (-5,-8) that has been reflected about the…

A: It is given that the vertex of the parabola is -5,-8. It is given that the equation of parabola…

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: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

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

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

A:

Q: 8) and directrix y = 7? A B y = -(x - 5)² +8 - y=- 1 -(x + 5)² +8 y = -(x + 5)² - 8 D_y==(x + 5)² +8…

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

Q: Find the vertex and focus of the parabola represented by the equation (y-2)^2 =-16(x-3)

A: y-22=-16x-3 Comparing with y-k2=4px-h, we get h=3,  k=2  &  4p=-16⇒p=-4

Q: A parabola has its vertex at (2,1) and crosses the x-axis at (1,0) and at (3,0). Which of the…

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

A: Consider the function

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: t is the equation of this parabola?

A: Given that, A  parabola has a vertex of (3,-2) and a y-intercept of 7.

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

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

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Q: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

A:

Q: Determine the equation of the parabola with vertex (2,8) and x-intercepts 0 and 4 in factored form…

A:

Q: Find the standard form of the parabola that opens to the right ,has a vertex of (6,2).

A:

Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

Q: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

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Q: What is the effect on the graph of a parabola if it's equation in standard form has increasing value…

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Q: What is the equation for a parabola

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Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

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: y=-2(x + 5)² y = -2(x - 5)² y = 2(x - 5)² is the equation of the parabola with vertex (0,4) and…

A: Topic:- geometry and parabola

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below