Quadratic Review

Quadratic Review

Quadratic Properties

The vertex is the maximum of minimum point of a parabola

The root is the x-intercept. It is also called the zero.

Quadratic Properties

• The axis of symmetry cuts the parabola in half. It always goes through the vertex and has an x = equation

• The vertex here is a minimum

• The graph here opens up

Quadratic Properties

• The axis of symmetry cuts the parabola in half. It always goes through the vertex and has an x = equation

• The vertex here is a maximum

• The parabola here opens down

Multiple Choice

Identify the zero(s).

• 4
• 6
• -4 and 1
• -1.5 and 6

Multiple Choice

What are the x-intercepts of the quadratic function shown here?

• (1,0) and (0,-2.5)

• (1,0) and (5,0)

• (3,2)

• (0,-2.5)

Multiple Choice

What is the y-intercept?

• (2, 6)
• 4
• -1,5
• (5.5, 0)

Multiple Choice

What is the vertex of this quadratic equation?

• (-2,4)

• (2,4)

• (4,-2)

• (-4,-2)

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• y intercept

Multiple Choice

What is the green dot on the parabola called?

• maximum
• minumum
• roots
• zeros

Multiple Choice

What direction is the following equation opening?
y=-3x²-7x+8

• Up
• Down
• Left
• Right

Multiple Choice

Find the vertex of 
f(x) = -x² - 4x + 12

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Multiple Choice

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

• x=-8
• x=1
• x=-1
• x=2

Multiple Choice

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

Multiple Choice

Factor: x² + 2x – 3

• (x - 2)(x + 1)
• (x + 1)(x - 3)
• (x + 2)(x - 1)
• (x - 1)(x + 3)

Multiple Choice

Factor the Trinomial:

x² - 8x + 15

• (x + 5) ( x + 3)

• (x - 5) (x - 3)

• (x + 15) (x - 1)

• (x - 7) (x - 8)

Multiple Choice

Factor the Trinomial:
x² - 8x + 15

• (x + 5) ( x + 3)
• (x - 5) (x - 3)
• (x + 15) (x - 1)
• (x - 7) (x - 8)

Multiple Choice

The two solutions to y= 2x² - x - 3 are...

• 1 and 1.5
• -1 and 1.5
• -1 and -1.5
• 1 and -1.5

Multiple Choice

What is another word that describes the zeroes of a quadratic function?  

• y-intercepts
• vertex
• x-intercepts
• maximum

Multiple Choice

What are the solutions?

• 0 and 8
• -2 and -4
• 3 and -1
• 2 and 4

Multiple Choice

Which of the following represents the solutions to the equation:  
3x² + 4x – 20 = 0?

• 0 and -20
• 3.33 and -2
• -3.33 and 2
• -0.67 and -21.33

Multiple Choice

What  are the solutions of this graph?

• -2 and 3
• -1/2 and -6
• -2 and -6
• 3 and -6

Multiple Choice

Solve by factoring.

x² + 15x + 44 = 0

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Multiple Choice

x² = 18x - 81

• x= -9

• x= 9

• x= -9, 9

• x = -81, 18

Multiple Choice

x²+4x=32

• x= -8, 4

• x= 8, -4

• x= -8, -4

Multiple Choice

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Multiple Choice

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

• x = 1 and x = 3
• x = 6 and x = -2
• x = -1 and x = -3

Multiple Choice

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Multiple Choice

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Multiple Choice

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3