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Algebra Help Desk

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Zeros of Quadratic Functions


Froggy Jumps Identify the Parts of a ParabolaVersion en ligne Identify the Parts of a Parabola In this activity, you'll analyze parabolas and identify their key components: Range: The set of all possible y-values. Solutions (roots, zeros): The points where the parabola intersects the x-axis. Y-intercept: The point where the parabola intersects the y-axis. Axis of symmetry: The vertical line that divides the parabola into two equal halves. Vertex: The point where the parabola changes direction (maximum or minimum point). Let's get started! par Algebra Help Desk 1 What are the zeros of the graph shown? a -3 and 1 b 3 and -1 c 3 and 1 2 What is the y-intercept of this graph? a 3 b -3 c 1 3 What is the range of the graph? a {4, -∞} b {∞, 4} c All Real #s 4 Does this graph have a minimum value, maximum value, or neither? a Max b Min c Neither 5 How many solutions does this graph have? a Zero b One c Two 6 What are the zeros of the graph shown? a -2 and 3 b 6 c -3 and 2 7 Does this graph have a minimum value, maximum value, or neither? a Max b Min c Neither 8 What are the zeros of the graph shown? a -3 and -3 b -3 c -3 and -1 9 What is the range of the graph shown? a -3 and -3 b -3 c {1, -∞} 10 Does this graph have a minimum value, maximum value, or neither? a Max b Min c Neither 11 What is the vertex of this graph? a (1, 2) b (-2, 1) c (0, 3) 12 What are the zeros of the graph in the picture? a 8 b -4 and 2 c -4, 2, and 8 13 What is the vertex of this graph? a (9, -1) b (1, -9) c (-1, 9) 14 What are the zeros of the graph shown? a no solutions b 4 c -4 15 What is the vertex of this graph? a no solutions b (4, 0) c (4, 0) 16 What is the axis of symetry? a x = 4 b y = 4 c (4, 0) 17 What is the range of this graph? a {0, ∞} b {-4, ∞} c All Real #s 18 Does this graph have a minimum value, maximum value, or neither? a Max b Min c Neither 19 How many solutions does this graph have? a None b One c Two 20 Does this graph have a minimum value, maximum value, or neither? a Max b Min c Neither 21 What is the y-intercept of this graph? a 0 b 4 c 10 22 What are the roots of this graph? a -2 and 2 b 0 and 4 c None 23 What is the range of this graph? a {4, -∞} b {-4, ∞} c All Real #s 24 What is the vertex of this graph? a {-2, 2} b (0, -4) c None 25 What is the axis of symmetry of this graph? a {-2, 2} b x = 4 c x = 0 26 How many solutions does this graph have? a None b One c Two 27 What is the vertex of this graph? a {-2, 2} b (-2, 2) c (0, -2) 28 What is the range of this graph? a All Real #s b {2, -∞} c {-2, ∞} 29 What is the y-intercept of this graph? a -2 b 0 c 2 30 What is the solution of this graph? a 3 and -1 b -3 and 1 c No solution 31 Does this graph have a minimum value, maximum value, or neither? a max b min c neither 32 How many solutions does this graph have? a None b One c Two 33 What is the vertex of this graph? a (4, 1) b (-1, -4) c (-3, 1) 34 What is the axis of symmetry of this graph? a x = -1 b x = 0 c y = -3 35 What is the y-intercept of this graph? a x = -1 b x = 0 c y = -3

Froggy Jumps

Identify the Parts of a ParabolaVersion en ligne

Identify the Parts of a Parabola In this activity, you'll analyze parabolas and identify their key components: Range: The set of all possible y-values. Solutions (roots, zeros): The points where the parabola intersects the x-axis. Y-intercept: The point where the parabola intersects the y-axis. Axis of symmetry: The vertical line that divides the parabola into two equal halves. Vertex: The point where the parabola changes direction (maximum or minimum point). Let's get started!

par Algebra Help Desk

What are the zeros of the graph shown?

-3 and 1

3 and -1

3 and 1

What is the y-intercept of this graph?

-3

What is the range of the graph?

{4, -∞}

{∞, 4}

All Real #s

Does this graph have a minimum value, maximum value, or neither?

Max

Min

Neither

How many solutions does this graph have?

Zero

One

Two

What are the zeros of the graph shown?

-2 and 3

-3 and 2

Does this graph have a minimum value, maximum value, or neither?

Max

Min

Neither

What are the zeros of the graph shown?

-3 and -3

-3

-3 and -1

What is the range of the graph shown?

-3 and -3

-3

{1, -∞}

Does this graph have a minimum value, maximum value, or neither?

Max

Min

Neither

What is the vertex of this graph?

(1, 2)

(-2, 1)

(0, 3)

What are the zeros of the graph in the picture?

-4 and 2

-4, 2, and 8

What is the vertex of this graph?

(9, -1)

(1, -9)

(-1, 9)

What are the zeros of the graph shown?

no solutions

-4

What is the vertex of this graph?

no solutions

(4, 0)

What is the axis of symetry?

x = 4

y = 4

(4, 0)

What is the range of this graph?

{0, ∞}

{-4, ∞}

All Real #s

Does this graph have a minimum value, maximum value, or neither?

Max

Min

Neither

How many solutions does this graph have?

None

One

Two

Does this graph have a minimum value, maximum value, or neither?

Max

Min

Neither

What is the y-intercept of this graph?

What are the roots of this graph?

-2 and 2

0 and 4

None

What is the range of this graph?

{4, -∞}

{-4, ∞}

All Real #s

What is the vertex of this graph?

{-2, 2}

(0, -4)

None

What is the axis of symmetry of this graph?

{-2, 2}

x = 4

x = 0

How many solutions does this graph have?

None

One

Two

What is the vertex of this graph?

{-2, 2}

(-2, 2)

(0, -2)

What is the range of this graph?

All Real #s

{2, -∞}

{-2, ∞}

What is the y-intercept of this graph?

-2

What is the solution of this graph?

3 and -1

-3 and 1

No solution

Does this graph have a minimum value, maximum value, or neither?

max

min

neither

How many solutions does this graph have?

None

One

Two

What is the vertex of this graph?

(4, 1)

(-1, -4)

(-3, 1)

What is the axis of symmetry of this graph?

x = -1

x = 0

y = -3

What is the y-intercept of this graph?

x = -1

x = 0

y = -3

Identify the Parts of a Parabola

Froggy Jumps

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