Vertex and Transformation Quiz

What are the components of the vertex form of a quadratic function?

• p, q, r

• a, h, k

• x, y, z

• a, b, c

What is the vertex of the function if the equation is given as y = (x - 4)^2 + 3?

• (-4, -3)

• (4, -3)

• (-4, 3)

• (4, 3)

If a function is given as y = (x + 2)^2 - 5, what is the vertex?

• (2, 5)

• (-2, -5)

• (-2, 5)

• (2, -5)

How does the graph of y = (x - 4)^2 + 3 transform from the parent function y = x^2?

• Right 4 units, up 3 units

• Left 4 units, down 3 units

• Left 4 units, up 3 units

• Right 4 units, down 3 units

What transformation occurs if the function is y = 2(x - 5)^2 - 1?

• Left 5 units, down 1 unit, wider

• Left 5 units, up 1 unit, wider

• Right 5 units, up 1 unit, narrower

• Right 5 units, down 1 unit, narrower

For the function y = -1/2(x + 3)^2 + 1, what transformations occur?

• Right 3 units, up 1 unit, narrower, reflected

• Left 3 units, down 1 unit, wider, reflected

• Right 3 units, down 1 unit, narrower, reflected

• Left 3 units, up 1 unit, wider, reflected

Given a graph with a vertex at (0, 0) and a value of 1, what is the equation in vertex form?

• y = (x + 0)^2

• y = (x - 0)^2

• y = (x - 1)^2

• y = x^2

If a graph has a vertex at (2, -3) and follows the pattern of out 1, up 1, what is the equation?

• y = (x + 2)^2 - 3

• y = (x - 2)^2 + 3

• y = (x + 2)^2 + 3

• y = (x - 2)^2 - 3

What is the equation of a graph with a vertex at (-3, 1) and an a value of 2?

• y = (x + 3)^2 + 1

• y = 2(x + 3)^2 + 1

• y = 2(x - 3)^2 - 1

• y = (x - 3)^2 - 1

For a graph with a vertex at (0, 3) and a downward opening, what is the equation?

• y = -(x^2) + 3

• y = (x^2) - 3

• y = -(x^2) - 3

• y = (x^2) + 3