Quadratic Review

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.

Tags

CCSS.HSF.BF.B.3

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.

Tags

CCSS.HSF.BF.B.3

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.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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.

Tags

CCSS.HSF.BF.B.3

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.

Tags

CCSS.HSF.BF.B.3

What is the vertex of
f(x) = (x - 1)² + 2?

• (-1, 2)
• (-1, -2)
• (1, 2)
• (1, -2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Simplify
(p − 8)²

 Hint: (p − 8)² = (p − 8)(p − 8)

• p ² − 16p − 64 
• p ² + 16p + 64 
• p ² − 16p − 8
• p ² − 16p + 64 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:
(x-7)²

• x²-49
• x²+49
• x²-14x+49
• x²-14x-49

Tags

CCSS.HSA.APR.C.4

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.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8