7. Write the equation of the parabola in vertex or intercept form. ya(2) -1, 0) (2, 0) (0, -4)

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: 2k, {}) 4k

A:

Q: 19. Write the equation of a parabola whose y-intercept is 4 and which contains the points (1, -4)…

A:

Q: y= ax + c The vertex of the parabola in the xy-plane above is (0, c). Which of the following is true…

A:

Q: What is the general equation of a parabola that opens upward with V(-1,2)?

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: x2/a2 + y2/(a2-c2) =1 from √[(x+c)2+y2]-√[(x-c)2+y2]=+-2a

A:

Q: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: How can I find a quadratic equation, that's in standard form, with a, b, and c all in terms of a?…

A: ax2+bx+c=0 be a quadratic equation let f(x)=ax2+bx+c, and we have given two points (1,1) and (3,7)…

Q: 2. Select the quadratic equation of the graph below AND JUSTIFY YOUR ANSWER. a. y = (x+2)² +1 b. y =…

A: we can easily seen that in the graph when x=0 then y=2 and  when x=-2 then y=1 these points satisfy…

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: 8. The roots of the equation of a quadratic function are x = 3 and x = 5. Find an equation for the…

A:

Q: 9. Find the equation in factored form for a parabola that has zeros -4, and 8, and passes through…

A: let the general equation of parabola is y=ax2+bx+c -4 is one of the zero of the parabola ,…

Q: The path of a diver under water after a dive is in the shape of a parabola that opens upward. Using…

A: x intercepts are 1 and 5 Hence point (1,0) and (5,0)   Factors of parabola are ( x - 1 ) and ( x - 5…

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: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

A:

Q: 7. Find an equation in the standard form of the parabola passing through the points. x -1, 1, 2…

A: consider the equation of parabola is y=ax2+bx+c

Q: 20 (0, 3) %23 -4-2 2468 4 to (3,-6) Write the standard form of the equation of the parabola shown at…

A: From given vertex write the standard form of equation of parabola and than satisfy the given point…

Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

A:

Q: 3) Explain how changing the a, h, and k variables affect the shape of the parabola in the vertex…

A: The vertex form of a parabola is given by y = a(x - h)² + k. In this equation, (h, k) is the vertex…

Q: Write the equation for a parabola that opens sideways, whose vertex is at (0, 2), and that passes…

A: We are required to: Write the equation of the parabola that open sideways whose vertex is at (0,2)…

Q: Match the form of the quadratic equation with the key feature shown that form. y=.5(x-5)(x-4) […

A:

Q: =ar, easy to read sandth

A: We will find the coordinates.

Q: (-3,3) 76543 (-3,2) -6-5-4-3-2-1 -2 -3 4 2 3 4 5 6 7 (2, 4)

A: This is a downward parabola so vertex is the top most point on the parabola

Q: 10. Write the standard form of the equation of the parabola with vertex (5, -3), opens right, and…

A: Solution

Q: Which point on the parabola is one of the roots of the quadratic equation y = -x² – 3r + 4? %3D -2…

A: The roots of the quadratic equation are given by the points at which its graph cuts the x axis.