Algebra Quadratic Functions

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Tags

CCSS.HSF-IF.C.7A

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

Solve:
2x² - 9x = 35

• x = 7/2, x = -6

• x = -5/2, x =5

• x = -3/7, x =6

• x = -5/2, x = 7

Tags

CCSS.HSA-REI.B.4B

Solve:
4x² = -4x -1

• x = -½

• x = -2

• x = 0

Tags

CCSS.HSA-REI.B.4B

• A
• B
• C
• D

Tags

CCSS.8.EE.A.2

• -3, 4
• 3, 4
• -4, -3
• -3

Tags

CCSS.HSA-REI.B.4B

Convert to vertex form:
f(x) = x² + 10x + 24

• f(x) = ( x - 5 )² + 1

• f(x) = ( x + 5 )² - 1

• f(x) = ( x - 5 )² - 1

• f(x) = ( x + 5 )² + 1

What is the range of this function?

• (- ∞,+∞)

• [0, +∞)

• [-2, +∞)

• [2, +∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5