Identifying Transformations in Vertex Form

Which transformations were applied to form the red graph from the blue graph?

• shrink

• stretch

• reflection, stretch

• reflection, shrink

In vertex form, y= a(x-h)²+k, what effect does the k have on the graph?

• Translates vertically

• Translates horizontally

• Dilates (stretches)

If the blue graph is f(x) = x² then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units

• Graph moves to the RIGHT 3 units

• Graph moves DOWN 3 units

• Graph moves to the LEFT 3 units

What transformation occurred to y = x² to y = (x - 5)² - 3?

• The graph translated right 5 units and down 3 units

• The graph translated right 3 units and down 5 units

• The graph translated left 5 units and down 3 units

• The graph translated left 3 units and up 5 units

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 left

• shifts 4 right

• shifts 1 left

• A parabola translated 1 unit to the right

• A parabola translated 1 unit to the left

Choose the function that matches this description:
A parabola translated 7 units up and 5 units to the left

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

• x=4

• x=-4

• x=1/2

• x=3

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)