Study Guide: Quadratic Functions

Does the following quadratic function have a maximum or minimum?
 $f\left(x\right)=7x^2-3x-6$  

• maximum

• minimum

• both

• neither

Given the quadratic function
 $f\left(x\right)=\frac{1}{2}x^2+2x-3$  
what is the value of b?

• 1/2

• 2

• -3

• 3

What is the y-intercept of the following quadratic function?
 $f\left(x\right)=\left(x-3\right)\left(x+2\right)$  

• (0,6)

• (0,-6)

• (6,0)

• (-6,0)

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Tags

CCSS.HSA.REI.B.4

What is the vertex of y= x² - 8x + 14 ?

• (2, 4)
• (-4, -2)
• (4, -2)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

Find the y-intercept of f(x) = 2x² - 2x + 1

• (1,0)

• (-2,0)

• (0,1)

• (0, -1)

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

What is the range of this function?

• (- ∞,+∞)
• [0, +∞)
• [-2, +∞)
• [2, +∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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 

Tags

CCSS.HSF-IF.C.7A