Interpret Quadratic Graphs

Jack wants to know how high the soccer ball will get if he kicks it straight up in the air. Which one are we looking for?

• x at vertex

• y at vertex

• positive zero

Answer explanation

We are looking for how high the soccer ball will get, which corresponds to the maximum height in a projectile motion. This is represented by the y-coordinate at the vertex of the parabola, making 'y at vertex' the correct choice.

What piece of information does c identify in the following equation?
y=ax²+bx+c

• Zeroes

• Axis of Symmetry

• Direction

• y-intercept

Answer explanation

In the equation y=ax²+bx+c, the term c represents the y-intercept. This is the value of y when x is 0, indicating where the graph intersects the y-axis.

Which of the following graphs appropriately marks the axis of symmetry?

• 
• 
• 
• 

Using the graph of the quadratic function, identify the vertex.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

Answer explanation

The vertex of a quadratic function is the point where the graph changes direction. In this case, the vertex is at (4, -6), which is the lowest point on the graph, confirming it as the correct choice.

Lily wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.

Which one are we looking for?

• x at vertex

• y at vertex

• positive zero

Answer explanation

We are looking for how long the rocket is in the air, which corresponds to the positive zero of the function representing its height. Thus, the correct choice is 'positive zero'.

A company graphed the revenue (profit) based on selling price of their item. What is the maximum amount of revenue they can earn?

• $0

• $31.80

• $62

• $2,528,100

A company graphed the revenue (profit) based on selling price of their item. What price would give them the greatest revenue?

• $0

• $31.80

• $62

• $2,528,100

How long is the rocket in the air?

• 8 seconds

• 4 seconds

• 6 seconds

• 260 seconds

The math club launched a rocket and recorded its height and distance travelled. What was its maximum height?

• 4 feet

• 8 feet

• 10 feet

• 14 feet

The math club launched a rocket and recorded its height and distance travelled.

How far did the rocket travel overall?

(horizontal distance)

• 4 feet

• 8 feet

• 10 feet

• 14 feet