Unit 7 Mid Unit Check in

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Readiness task #1

The next few slides are similar to Unit 7 Readiness task #1

This readiness task was about finding quadratic patterns in a table

Multiple Choice

Is the table linear, exponential, Quadratic, or not a function at all?

• Linear

• Exponential

• Quadratic

• Not a function

Multiple Choice

Is the Equation Linear, Exponential, Quadratic, or not a function at all?

• Linear

• Exponential

• Quadratic

• Not a function

Multiple Choice

This table represents what kind of function?

• Linear
• Exponential Growth
• Exponential Decay
• Quadratic

Multiple Choice

What is the correct second difference?

• -3.5

• 1

• -6.5

• 0.5

Multiple Choice

What is the correct second difference?

• -14

• 4

• 14

• 2

Fill in the Blanks

Assuming a quadratic pattern,

the missing value is...

$\square=$

Fill in the Blanks

Assuming a quadratic pattern,

the missing value is...

$\square=$

Fill in the Blanks

Assuming a quadratic pattern,

the missing value is...

$\square=$

Readiness task #2

The following slides are similar to readiness task 2

This readiness task is about identifying important features of a parabola from the graph.

Multiple Choice

Name the x-intercept(s)?

• (0, 0)
• (2, 4)
• (0, 0) and (0, 4)
• (0, 0) and (4, 0)

Multiple Choice

What is the vertex of the graph?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

Multiple Choice

Is this point a max or min?

• max
• min

Multiple Choice

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Multiple Choice

What is the significance of the ordered pair (2, -4) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Multiple Choice

Identify the vertex

• (-1,-9)
• (0,-8)
• (-4,0)
• (0,0)

Multiple Choice

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Readiness task #3

The following slides practice skills similar to Readiness task #3

This readiness task focuses on the ability to explain what important points (on a parabola) mean in a context.

Multiple Choice

When did the ball reach its maximum height? Choose the key feature and the answer.

• y-intercept, 3 secs

• x-value of the vertex, 4 secs

• y-value of the vertex, 5 secs

• y-intercept, 0 secs

Multiple Choice

What was the maximum height of the ball? Choose the key feature and the answer choice.

• y-intercept, 3 feet

• y-intercept, 0 feet

• x-value of the vertex, 4 feet

• y-value of the vertex, 5 feet

Multiple Choice

What is the approximate lowest height of the roller coaster?

• 120 feet

• 3 feet

• 25 feet

• 170 feet

Multiple Choice

What was the height of the water at 3 seconds?

• 9 feet

• 10 feet

• 7 feet

• 5 feet

Multiple Choice

What was the height of the ball at 1 second?

• 3 feet

• 4 feet

• 5 feet

Multiple Choice

What key feature tells the initial height of the roller coaster?

• y-intercept

• positive root/

  x-intercept

• x of vertex

• y of vertex

Multiple Choice

How high was the ball when it was initially (first) thrown? Choose the best answer.

• 0 feet because this is the y-intercept.

• 3 feet because this is the y-intercept.

• 4 seconds because this is the axis of symmetry.

• 5 feet because this is the y-value of the vertex (highest point).

Multiple Choice

This graph shows the height of a soccer ball in feet over time in seconds. Which statement is true?

• The soccer ball hits the ground again at 6 seconds.

• The soccer ball reaches a minimum point at 3 seconds.

• The soccer ball starts at a height of 4 feet.

• The soccer ball stays on the ground the whole time.

Multiple Choice

Which statement best describes the graph below?

• The ball was dropped from a height of 18 feet and then reached a maximum height of 20 feet before reaching the ground.

• The ball was thrown from the ground and then reached a height of 18 feet before landing again in just under 2 seconds.

• The ball was dropped from a height of 18 feet and then descended for just under 2 seconds before it hit the ground.

• The ball was thrown from a height of 2 feet and then descended for 18 seconds before hitting the ground.

Readiness task 4

The next few slides practice RT 4 skills

Readiness task 4 focuses on finding intercepts of a parabola from the equation.

Multiple Choice

Give the x-intercepts of the graph of y = 3(x - 8)(x + 4).

• 8 and 4

• 3, 8, and 4

• 8 and -4

• -8 and 4

Multiple Select

What are the x-intercepts for g(x) = (x + 8)(x + 2)

• 8 and 2

• (8, 2)

• -8 and - 2

• (-8, -2)

Multiple Choice

For f(x) = (x-3)(x+4), what are the coordinates of the y-intercept?

• (3,0) and (4,0)

• (0,3) and (0,4)

• (0,-12)

• (-12,0)

Multiple Choice

What are the x-intercepts of 
f(x)=(x - 10)(x + 10)

• 10
• (10 , 0) and (-10 , 0)
• (0, -10) and (0, 10)
• 0

Multiple Choice

What is the y-intercept?
f(x)=x²-8x+3

• (3, 0)
• (-8, 3)
• (4, -13)
• (0, 3)

Multiple Choice

What is the y-intercept shown in this set of equations?

• (2, 6)

• (0, 6)

• (6, 0)

• (-2, 6)

• (-2, 0)

Multiple Choice

Which form shows the y-intercept?

• Standard form

• Factored form

• Vertex form

Multiple Select

What are the x-intercepts shown in this set of equations?

• (-2, 0)

• (2, 0)

• (6, 0)

• (-6, 0)

• (0, 6)

Multiple Choice

Which form shows the x-intercepts?

• Standard form

• Factored form

• Vertex form

Readiness task 5

The next few slides practice RT 5 skills

Readiness task 5 focuses on graphing a parabola from factored form.

Multiple Choice

Question 1: Identify the x-intercepts and y-intercept of the equation y = (x-3)(x+2)

• The x-intercepts are x = 3 and x = -2. The y-intercept is y = -6.

• The x-intercepts are x = 0 and x = 3. The y-intercept is y = -6.

• The x-intercepts are x = 1 and x = -5. The y-intercept is y = 8.

• The x-intercepts are x = 5 and x = -4. The y-intercept is y = 12.

Multiple Choice

Question 2: Find the x-intercepts and y-intercept of the function y = (x-1)(x-5)

• The x-intercepts are x = 2 and x = 6. The y-intercept is y = -6.

• The x-intercepts are x = 1 and x = 5. The y-intercept is y = -5.

• The x-intercepts are x = 3 and x = 4. The y-intercept is y = -4.

• The x-intercepts are x = 0 and x = 6. The y-intercept is y = -6.

Multiple Choice

Question 3: Determine the x-intercepts and y-intercept of the equation y = (x+4)(x-4)

• X-intercepts: x = -6, x = 6; Y-intercept: y = 24

• X-intercepts: x = -2, x = 2; Y-intercept: y = 16

• X-intercepts: x = -4, x = 4; Y-intercept: y = -16

• X-intercepts: x = 0, x = 8; Y-intercept: y = -32

Multiple Choice

What is the axis of symmetry for the graph shown?

• $$x=2$$

• $$x=-2$$

• $$y=9$$

• $$y=-9$$

Multiple Choice

What is the axis of symmetry for the equation $$y=\left(x-8\right)\left(x+2\right)$$ ?

• $$x=-5$$  

• $$x=8$$  

• $$x=-3$$  

• $$x=3$$  

Graphing

Graph this equation by finding the x intercepts and vertex

y = (x-1)(x-3)

Graphing

Graph this equation by finding the x intercepts and vertex:

y = (x-1)(x+3)