Parabolas Transformation

• Perfect

• A Pentagon

• A Parabola

• A Parallelogram

Which is the most basic equation of a parabola?

Hint: Sometimes it is called the parent function.

• y = - x²

• y = - x² - 4

• y = 2x² + 3

• y = x²

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

• Translates vertically (up or down)

• Translates horizontally (left or right)

• Dilates (stretches)

• (0, 0)

• ( 3, 4)

• (-3, 4)

• (4, -3)

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