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

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.

Simplifying Radicals

Required

10

Simplify this radical.

Completing the Square: Rational Solutions

Required

10

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

Required

10

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

Completing the Square: Irrational Solutions

Required

10

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

Required

10

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

Quadratic Equation Review

Required

8

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

Draggable item		Corresponding Item
		(-1, 3)
		(-∞, -1) and (3, ∞)
		(-3, 1)
		(-∞, -3) and (1, ∞)
		(-2, 4)
		(-∞, -2) and (4, ∞)
		(-4, 2)
		(-∞, -4) and (2, ∞)

Required

4

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

1
2
-2
-1

Required

12

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

Required

12

Match the statement to the quadratic equation it is describing.

My function's y-intercept and vertex are the same.
For my function, f(x) is negative when
x < 0 and x > 2.
Find my function using the clue below:
f(-1) + f(4) = -11
My minimum is y=1 and
all the y-values of my function are positive.
The zeros of my parabola are (-6, 0) and (-2, 0).
My y-intercept is 5
and my vertex is (-2, 1).
My function is decreasing over the interval (-4, ∞).
I have an axis of symmetry of x = -1.
My function is only increasing over the interval x > -1.
The range of my function is y ≤ 1.
The x-intercepts of my parabola are opposites.
My function has a vertex that is (0, 0) and an axis of symmetry of x = 0.

Required

3

Match each equation to its graph

Draggable item		Corresponding Item
		f(x) = (x - 2)(x - 4)
		f(x) = -(x + 2)(x - 2)
		f(x) = (x + 2)(x - 4)

Required

10

Factor this quadratic function:
x2 - 3x - 4

Required

10

Factor this quadratic function:
x2 + 3x - 10

Required

10

Factor this quadratic function:
2x2 - 13x - 7

Required

10

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

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.

Simplifying Radicals

Simplify this radical.

Completing the Square: Rational Solutions

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

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

Completing the Square: Irrational Solutions

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

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

Quadratic Equation Review

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

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

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)

Match the statement to the quadratic equation it is describing.

Match each equation to its graph

Factor this quadratic function:x2 - 3x - 4

Factor this quadratic function:x2 + 3x - 10

Factor this quadratic function:2x2 - 13x - 7

Factor this quadratic function:4x2 - 15x - 25

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.

Simplifying Radicals

Simplify this radical.

Completing the Square: Rational Solutions

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

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

Completing the Square: Irrational Solutions

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

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

Quadratic Equation Review

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

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

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)

Match the statement to the quadratic equation it is describing.

Match each equation to its graph

Factor this quadratic function:x2 - 3x - 4

Factor this quadratic function:x2 + 3x - 10

Factor this quadratic function:2x2 - 13x - 7

Factor this quadratic function:4x2 - 15x - 25

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)

Factor this quadratic function:
x2 - 3x - 4

Factor this quadratic function:
x2 + 3x - 10

Factor this quadratic function:
2x2 - 13x - 7

Factor this quadratic function:
4x2 - 15x - 25

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)

Factor this quadratic function:
x2 - 3x - 4

Factor this quadratic function:
x2 + 3x - 10

Factor this quadratic function:
2x2 - 13x - 7

Factor this quadratic function:
4x2 - 15x - 25