Key Features of Quadratic Functions

Key Features of Quadratic Functions

By Paul Najito

Multiple Choice

Define X-intercept

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis

• Where the parabola touches or intersects the y-axis

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Multiple Choice

Define Y-intercept

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The lowest y-value on the graph

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

Multiple Choice

Define Zero

• Where the parabola touches or intersects the x- axis, also called the x-intercept

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

• The highest or lowest point on the graph

• Where the parabola touches or intersects the y-axis

Multiple Choice

Define Maximum

• The highest or lowest point on the graph

• The highest y-value on the graph

• The lowest y-value on the graph

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Multiple Choice

Define Minimum

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The lowest y-value on the graph

Multiple Choice

Define Vertex

• Where the parabola touches or intersects the x-axis

• The highest or lowest point on the graph

• Where parabola line touches or intersects the x- axis, also called the x-intercept

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Multiple Choice

Define Axis Of Symmetry

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The highest y-value on the graph

• The highest or lowest point on the graph

Multiple Choice

Define Roots

• Where the parabola touches or intersects the y-axis

• The lowest y-value on the graph

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Multiple Choice

Define Solution

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis, also called the x-intercept

Multiple Choice

Define Roots, Zeros, X-intercept, and Solutions

• Where the parabola touches or interests the x-axis

• Where the parabola touches or interests the y-axis

Multiple Choice

What is the vertex?

• (-3, 0)

• (3, 0)

• (0, 18)

• (18, 0)

Multiple Choice

What is the equation of the axis of symmetry?

• y = 0

• x = 0

• x = 3

• x = -3

Multiple Choice

Find the vertex

• (2, -2)
• x = 2
• (-2, 2)
• (0, 4)

Multiple Choice

Which of the statements about the graph is FALSE?

• The vertex is a maximum

• There are two zeros at x = -3 and x = 3

• The y-intercept is (0, 18)

• The range is y ≥ 18

Multiple Choice

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Multiple Choice

What is the significance of the ordered pair (2, -4) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

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 equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Multiple Choice

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Multiple Choice

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Multiple Choice

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

Multiple Choice

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Multiple Choice

Which equation is graphed above?

• $$y=-\left(x-1\right)^2+4$$

• $$y=\left(x-1\right)^2+4$$

• $$y=-\left(x-4\right)^2+1$$

• $$y=\left(x-4\right)^2+1$$

Multiple Choice

Identify the vertex.

• (5, 2)

• (5, -2)

• (-5, 2)

• (-5, -2)

Multiple Choice

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Multiple Choice

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

Multiple Choice

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

• up
• down

Multiple Choice

The coefficient "a" in vertex form controls what?
y=a(x-h)²+k

• Width and Opening Up or Down
• Width Only
• Vertical Shift
• Horizontal Shift

Multiple Choice

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros

Multiple Choice

In which form is the following linear function?

$$y=2x+4$$  

• Slope Intercept Form

• Point-Slope Form

• Standard Form

Multiple Choice

In which form is the following linear function?

$$y-2=3\left(x+1\right)$$  

• Slope Intercept Form

• Point-Slope Form

• Standard Form

Multiple Choice

In which form is the following linear function?

$$4x+2y=8$$

• Slope Intercept Form

• Point-Slope Form

• Standard Form

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

What is 10⁰ equivalent to?

• 1
• 10
• 0
• 100

Multiple Choice

James Madison is the _______________ President?

• 23rd

• 45th

• 4th