Transformations Parabolas

Which way does the graph move if the equation looks like y = (x + 4)² ?

• Graph moves UP 4 units

• Graph moves to the RIGHT 4 units

• Graph moves DOWN 4 units

• Graph moves to the LEFT 4 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

When you add a constant to y=x²  what happens to the graph? (Eg  y = x² + 2)

• Graph moves UP

• Graph moves to the RIGHT

• Graph moves DOWN

• Graph moves to the LEFT

What transformation happens here: y = (x - 5)² - 3?

• The graph is shifted to the right 5 units and down 3 units

• The graph is shifted right 3 units and down 5 units

• The graph is shifted left 5 units and down 3 units

• The graph is shifted left 3 units and up 5 units

What transformations are occurring to the following quadratic y = -x²+3

• left 3

• reflects across x axis, down 3

• reflects across x axis, up 3

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=f(x + 3)

• g(x)=f(x - 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

In the vertex form f(x) = a(x - h)² + k , what does the 'k' value do?

• Shifts the function left or right

• Reflects over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

How did we transform from the parent function?
y = x² + 2

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down