Quadratic Function Transformation Review

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

What transformation has happened from f(x) = x² to f(x) = x² - 3?

• The new function gets wider.

• The new function gets narrower.

• The new function shifts down 3 units.

• The new function shifts up 3 units.

What transformation has happened from f(x) = x² to f(x) = 3x² + 2 ?

• The new function gets wider.

• The new function shifts up 2 units.

• The new function gets narrower.

• The new function gets narrower and shifts up 2 units.

What transformation has happened from f(x) = x² to f(x) = x² + 6?

• The new function shifts down 6 units.

• The new function shifts up 6 units.

• The new function is narrower.

• The new function is wider.

What transformation has happened from f(x) = x² to f(x) = 2(x + 4)² ?

• The new function gets wider and shifts left 4 units.

• The new function gets narrower and shifts right 4 units.

• The new function gets wider and shifts right 4 units.

• The new function gets narrower and shifts left 4 units.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142

• f(x) = (x + 6)² - 34

• f(x) = (x + 6)² - 38

• f(x) = (x + 6)² + 34

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15

• f(x) = (x - 4)² + 17

• f(x) = (x - 4)² - 17

• f(x) = (x - 4)² + 65

Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6

• y= -(x-1)²-6

• y= (x+1)²-6

• y= -(x+6)²-1