Quadratic Functions

Multiple Choice

What is this formula?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Multiple Choice

How many real solutions does this quadratic have?

• no real solutions
• one solution
• two solutions
• three solutions

Multiple Choice

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 

Multiple Choice

What is the vertex?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

Multiple Choice

What is the maximum/minimum of a parabola called?

• vertex
• point
• top
• bottom

Multiple Choice

The graph of a quadratic function is a __________

• line

• V

• parabola

• circle

Multiple Select

Choose all the possible forms of a quadratic function.

• y = ax² + bx + c

• (x-h)² + (y-k)² = 1

• y = a(x-h)² + k

• y = mx + b

Multiple Choice

The __________ is the point where the minimum or maximum point of a parabola or absolute value graph occurs.

• y-intercept

• equation

• vertex

• axis of symmetry

Multiple Choice

What is the axis of symmetry in a function?

• The transformation of the graph

• The vertex

• A vertical line that passes through the vertex and divides the parabola in half

• y = h

Multiple Choice

The parabola opens _____ if the x² is positive and has a __________ point.

• right, minimum

• left, maximum

• up, minimum

• down, maximum

Multiple Choice

A parabola will open _____ if x² is negative and it has a __________ point.

• right, minimum

• left, maximum

• up, minimum

• down, maximum

Multiple Choice

What steps transform the graph y =x² to y = x²+8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Multiple Choice

What step transforms the graph y = x² to y = (x-4)²

• shifted down 4 units

• shifted left 4 units

• shifted right 4 units

• shifted up 4 units

Multiple Choice

What is the range?

• y≥-3
• y≥-1
• All real numbers
• y≤-1

Multiple Choice

What is the domain of the function?

• D:{ x is greater than or equal to 3}
• D:{x is less than or equal to 3}
• D:{all real numbers}
• D:{ x is all real numbers between and including -1 and 5}

Multiple Choice

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Multiple Choice

Name the Vertex

• (3, -4)

• (-3, -4)

Multiple Choice

x-intercepts

• -4 and 0

• -1 and -2

Multiple Choice

What is the vertex of this quadratic equation?  
y = 2(x - 2)²  +  5

• (-2,5)
• (2,5)
• (5,-2)
• (-5,-2)

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

Multiple Choice

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Multiple Choice

If given the equation

y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Multiple Choice

What is the vertex of

f(x) = 2(x - 5)² + 12

• (-5, -12)

• (5,-12)

• (5, 12)

• (-5, 12)

Multiple Choice

If a is negative in the function, which way does the parabola

• up

• down

• left

• right

Multiple Choice

Determine the direction of opening for the quadratic function $$f(x) = -2x^2 + 4x - 1$$ .

• Opens upwards

• Opens downwards

• Opens to the right

• Opens to the left