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Biblioteka

4.4 Quadratic Equation Review (Due 1/29/24)

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Posljednje ažuriranje 3 months ago
14

Simplifying Radicals

Obavezno
10

Completing the Square: Rational Solutions

Obavezno
10
Obavezno
10

Completing the Square: Irrational Solutions

Obavezno
10
Obavezno
10

Quadratic Equation Review

Obavezno
8
Obavezno
4
A.APR.3
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12
Obavezno
12
Obavezno
3
Obavezno
10
Obavezno
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Obavezno
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10

Essential Question: What are other methods of solving quadratic functions besides factoring?

Learning Target: Students will be able to solve quadratic equations using the completing the square method to model real-world situations.

Show your work for credit.

Pitanje 1
1.

Simplify this radical.

Pitanje 2
2.

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Pitanje 3
3.

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Pitanje 4
4.

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Pitanje 5
5.

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Pitanje 6
6.

Match the graphs with their negative regions (below the x-axis).

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

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(-1, 3)

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(-∞, -1) and (3, ∞)

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(-3, 1)

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(-∞, -3) and (1, ∞)

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(-2, 4)

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(-∞, -2) and (4, ∞)

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(-4, 2)

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(-∞, -4) and (2, ∞)

Pitanje 7
7.

Use Your Vocabulary: Match each zero with its graph(s).

  • 1

  • 2

  • -2

  • -1

Pitanje 8
8.

A swim team member performs a dive in the pool from a springboard.

The parabola below shows the path of her dive. Use the graph to answer the sorting question below.

Sort each statement into agree or disagree (based on the graph above)

  • The diver’s height was

    decreasing the entire time.

  • The springboard was 14 feet high.

  • The diver reached her

    maximum height at 23 feet in the air.

  • The diver landed in the water about 14 feet away from the springboard.

  • The diver’s range was between 0 and 23 feet.

  • The diver is going up in the air

    between 0 < x < 3.

  • The diver was 4 feet away from the springboard when she reached her maximum height.

  • Between 3 feet from the springboard and 8 feet from the springboard, the diver’s height was decreasing.

  • When the diver was 5 feet away from the springboard, she was 19 feet high.

  • Using the graph, f(2) = 22.

  • The diver was again at the height of the springboard 6 feet away from the board.

  • The diver’s height was changing at a faster rate between 4 feet and 6 feet from the springboard versus 6 feet and 8 feet from the springboard.

  • Agree

  • Disagree

Pitanje 9
9.

Match the statement to the quadratic equation it is describing.

  • The zeros of my parabola are (-6, 0) and (-2, 0).

  • My y-intercept is 5

    and my vertex is (-2, 1).

  • My function has a vertex that is (0, 0) and an axis of symmetry of x = 0.

  • The x-intercepts of my parabola are opposites.

  • The range of my function is y ≤ 1.

  • My function's y-intercept and vertex are the same.

  • My minimum is y=1 and

    all the y-values of my function are positive.

  • Find my function using the clue below:

    f(-1) + f(4) = -11

  • I have an axis of symmetry of x = -1.

  • My function is only increasing over the interval x > -1.

  • For my function, f(x) is negative when

    x < 0 and x > 2.

  • My function is decreasing over the interval (-4, ∞).

Pitanje 10
10.

Match each equation to its graph

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

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f(x) = (x - 2)(x - 4)

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f(x) = -(x + 2)(x - 2)

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f(x) = (x + 2)(x - 4)

Pitanje 11
11.

Factor this quadratic function:

x2 - 3x - 4

Pitanje 12
12.

Factor this quadratic function:

x2 + 3x - 10

Pitanje 13
13.

Factor this quadratic function:

2x2 - 13x - 7

Pitanje 14
14.

Factor this quadratic function:

4x2 - 15x - 25