Quadratic Intro

Key Features of Quadratic Functions

x - intercepts

• Where the parabola crosses the x-axis

• Also called solutions, zeros, or roots

• There can be 2, 1, or no zeros

• Write your answer as an ordered pair (x,y); y value will always be 0

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

Dropdown

What are the zeros?

(​ ​

Select answer

,​

Select answer

) and (​​

Select answer

,​

Select answer

)

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

• Where the parabola crosses the y-axis

• ​There is always 1 y-intercept

• It is known as your starting point or initial value

• Write your answer as an ordered pair (x,y): x value will always be 0

Y-intercept

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

Match

Match the following graphs with their y-intercept

(0,-3)

(0,7)

(0,2)

(0,-1)

(0,1)

• (0,-3)

• (0,7)

• (0,2)

• (0,-1)

• (0,1)

Vertex

• The highest or lowest point on the parabola

• Also the Max or Min

• Always write as an ordered pair (x,y)

• When asked to write the value of the Max or Min, write the y value of the vertex

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 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

Does this parabola have a minimum or a maximum?

• Minimum

• Maximum

Axis of Symmetry

• Vertical line that splits the function down the middle

• Write your answer as x = k; k is the x value of the vertex

  
  

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

Drag and Drop

Enter the axis of symmetry

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Placeholder

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Placeholder

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Placeholder

Drag these tiles and drop them in the correct blank above

x

=

1

,

3

-1

-3

2

+

y

Math Response

Enter the axis of symmetry

​ ​ ​

Type answer here

Correct Answer: x=3

Deg^°

Rad

Time to Review

Match

What is the significance of the ordered pair to the graph

• (2, -4)

• (5,0)

• (0,-2)

It is the vertex

It is an x-intercept

It is the y-intercept

• It is the vertex

• It is an x-intercept

• It is the y-intercept

Multiple Select

What are the solutions of the function? Choose all that apply.

• x = 0

• x = -3

• x = -6

• y = 18

Math Response

What is the equation of the axis of symmetry?

Type answer here

Correct Answer: x=0

Deg^°

Rad