Parabolas on Graphs

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

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

Which description best fits the transformation of f(x)=x² into f(x) =(x-5)²+3 ?

• Opens up, shifts to the right 5, and shifts up 3

• Is narrow, shifts left 5 and up 3

• Shifts right 5 and down 3

• Opens down and shifts up 3

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 is the correct name for the transformation from y=x²   to  y = -x²?

• Reflection

• Translation

• Dilation

• Transformer

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

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 left

• shifts 4 right

• shifts 1 left

Which of the following equations best fits the graphs of the transformed function shown in red?

What happens to the parabola when you multiply its equation by a number bigger than 1?  Eg  y = 3x²

• Graph moves UP

• Graph gets WIDER

• Graph moves DOWN

• Graph gets MORE NARROW

Caitlin graphs the function f(x) = ax², where a is a positive integer. If Caitlin multiplies a by -2, when compared to f(x), the new graph will become

• narrower and open downward

• narrower and open upward

• wider and open downward

• wider and open upward