Quadratic equations given a point and vertex

Write the equation of the quadratic with the given information:

Vertex: (0, 0)

Point: (4, 8)

• -54

• 42

• 138

• -150

Which of the following steps would be correct when solving for the a value in a quadratic equation, given a vertex at (9, -5) and a second point at (0, 0)?

• $0=a\left(0-9\right)^2-5$

• $0=a\left(0+9\right)^2-5$

• $0=a\left(0-9\right)^2+5$

• $-5=a\left(9-0\right)^2+0$

Write the equation of the quadratic with the given information:

Vertex: (5, -7)

Point: (4, -9)

•  $y=2\left(x-5\right)^2-7$  .

•  $y=-2\left(x-4\right)^2-9$ 

•  $y=-2\left(x-5\right)^2-7$ 

•  $y=2\left(x-4\right)^2-9$ 

Write the range of the quadratic with the given information:

Vertex: (5, -7)

Point: (4, -9)

What is the "a" value of the quadratic function in vertex form when the vertex is at (2, 3) and a second point is located at (-1, 0)?

What type of extreme doe the quadratic function have when the vertex is at (2, 3) and a second point is located at (-1, 0)?

What is the extreme value of the quadratic function when the vertex is at (2, 3) and a second point is located at (-1, 0)?

What is the range of the quadratic function when the vertex is at (2, 3) and a second point is located at (-1, 0)?

Mathematical Equivalence

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