Quadratic Review

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

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) = 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.

• 1

• 3

• 2

• 5

• 4

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

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

• The new function reflects about the y-axis.

• The new function reflects about the x-axis and gets narrower.

• The new function reflects about the x-axis and gets wider.

• The new function gets narrower.

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

What is another name for the x-intercepts of a quadratic?

• y-intercept

• Zeros

• x-axis

• They don't have another name