Functions (quadratic)

ET: Match the following equation to its correct transformation.

• Translate to the left

• Translate to the right

• Translate up

• Translate down

Match the equation to its description.

• Stretched by factor of 4 and left 4

• Compressed by factor of 4 and up 4

• Stretched by factor of 4 and up 4

• Compressed by factor of 4 and left 4

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2

• A
• B
• C
• D

• 
• 
• 
• 

What happens to the graph of the quadratic function f(x) = x^2 when it is transformed by f(bx), and 0 < |b| < 1?

• It undergoes a vertical compression

• It becomes narrower

• It undergoes a horizontal stretch

• It undergoes a vertical stretch

Determine the equation for the red graph.

• g(x)=(x-3)²

• g(x)=x²-3

• g(x)=x²+3

• g(x)=3x²

Explain the transformation of the function from y=x²:

y = (x + 14)²

• translated up 14

• translated down 14

• translated right 14

• translated left 14

 Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 up 5

• Right 3 down 5

• Left 3 down 5

• Right 3 up 5

If the "a" value in the vertex form is a fraction, then the parabola ___________.

• Stretches

• Compresses

• Flips

• Disappears