Root, Zero, Y Intercept and Axis of Symmetry,

Multiple Select

X-Intercepts are Also Called:

(Choose all the apply!)

• Solutions

• Roots

• Zeros

• Puppies

• Parabolas

Multiple Choice

Given a graph, how can you find the "solutions" to a quadratic (parabolas)?

• Call a friend

• Plug into a calculator

• Solutions are where the quadratic crosses the x-axis

• A Magic-8 Ball

Multiple Choice

What are the solutions, zeros, or x-intercepts of the graph?

• (-4,0) and (0,0)

• (0,0) and (4,0)

• (-2,2)

• None

Multiple Choice

What are the real roots (solutions) of the quadratic y = 2x²+4x+5

• (-1,3)

• (0,5)

• (5,0)

• No Real Roots

Open Ended

Graph the given function using desmos:

f(x)=-3(x-6)²

What are the Root/Zeros of the Function?

Multiple Choice

The y-intercept can be found on the:

• x-axis

• y-axis

• The Moon

Multiple Choice

What is the y-intercept of this graph?

y=2x²+4x+5

• (-1,3)

• (0,5)

• (5,0)

• No Real Roots

Open Ended

Graph the given function using desmos:

h(x)= (x-5)² (x+3)

What are the Root/Zeros of the Function?

Open Ended

Graph the given function using desmos:

h(x)= (x-5)² (x+3)

What is the y-intercept?

Multiple Choice

Which of these shapes is symmetrical?

Open Ended

Graph the given function using desmos:

h(x)= x(x-2)

What are the Root/Zeros of the Function?

Open Ended

Graph the given function using desmos:

h(x)= x(x-2)

What are the Y-Intercepts of the Function?

Open Ended

Graph the given function using desmos:

h(x)= x(x-2)

Where would the axis of symmetry be?

Open Ended

You are the sales manager for the ferry service that carries passengers from the mainland to the Ohio Islands.  Currently the fare is $10.00 per person and it carries 300 people per day.  The research shows that the company will lose 15 passengers per day for each increase of $1.00 in the fare.  The sales manager uses the function shown to model its daily profit based on the number of $1.00 increases.

f(x)=(300-15x)(x+10)

What is the minimum number of $1.00 increases to avoid a loss? (Break even)

Open Ended

You are the sales manager for the ferry service that carries passengers from the mainland to the Ohio Islands.  Currently the fare is $10.00 per person and it carries 300 people per day.  The research shows that the company will lose 15 passengers per day for each increase of $1.00 in the fare.  The sales manager uses the function shown to model its daily profit based on the number of $1.00 increases.

f(x)=(300-15x)(x+10)

What is the maximum number of $1.00 increases to avoid a loss? (Break even)