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

What is the end behavior?

The end behavior of the graph is x →∞, f(x)→⁻∞ and x →⁻∞,f(x)→⁻∞

The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→∞

The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→0

The end behavior of the graph is x →∞,f(x)→∞ and x→⁻∞, f(x)→⁻∞

The graph of a quadratic function is shown. What statement about this graph is not true ?

The graph has the y-axis as a line of symmetry

The graph has a y-intercept at (0, 8)

The graph has a maximum point at (-1, 9)

The graph has an x-intercept at (2, 0)

Which of the following are true about the quadratic function shown? (You can choose more than one answer)

the axis of symmetry is at x = -2

Determine the domain and range of the function

Domain: All real numbers, Range: y ≥ -4

Domain: All real numbers, Range: All real numbers

Domain: x ≥ -4, Range: All real numbers

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

Which one of the following best describes the point (0, -28) on the function below f(x) = x 2 +3x - 28?

(0, - 28) is the maximum vertex

Which of the following statements about the following equations is FALSE? f(x) = x 2 + 8x +7

The roots are (-7, 0) and (-1, 0)

What is the domain and range of the following function: y = 3x² -6x +5

Domain: all real numbers Range: all numbers greater than or equal to 2

Domain: all real numbers Range: all numbers less than or equal to 2

Domain: all real numbers Range: all numbers greater than 2

Domain: all real numbers Range: all numbers less than 2

What is the domain and range of the following function: y = 3x 2 - 54x + 241

Domain: (-∞, ∞) Range: [-2, ∞)

Domain: (-∞, ∞) Range: (-∞, -2]

Domain: (-∞, ∞) Range: [9, ∞)

Domain: (-∞, ∞) Range: (-∞, 9]

What is the domain and range of the following function: y = x 2 - 18x + 86

Domain: (-∞, ∞) Range: [5, ∞)

Domain: (-∞, ∞) Range: [9, ∞)

Domain: (-∞, ∞) Range: (-∞, 9]

Domain: (-∞, ∞) Range: (-∞, 5]

y = 3x 2 - 5x + 2 What are the end behaviors for this function?

As x gets bigger, y gets bigger.

As x gets smaller, y gets bigger.

As x gets bigger, y gets smaller.

As x gets smaller, y gets smaller.

y = -5x 2 +23x -32 What are the end behaviors for this function?

x → ∞, y → ⁻∞ and x → ⁻∞, y → ⁻∞

x → ⁻∞, y → ⁻∞ and x → ⁻∞, y → ⁻∞

x → ∞, y → ∞ and x → ⁻∞, y → ∞

x → ∞, y → ∞ and x → ∞, y → ∞

Describe the end behavior of the graph.

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

x →∞, y→∞ and x→⁻∞, y→∞

x →∞, y→∞ and x→⁻∞, y→0

x →∞,y→∞ and x→⁻∞, y→⁻∞

Key Features of Quadratic Functions

Authored by Lindsey DeRosa

Mathematics

9th - 12th Grade

CCSS covered

Used 27+ times

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55 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSG.GPE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2

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Key Features of Quadratic Functions

Define X-intercept

Define Y-intercept

Define Zero

Define Maximum

Define Minimum

Define Vertex

Define Axis Of Symmetry

Define Roots

Define Solution

Define Roots, Zeros, X-intercept, and Solutions

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