Interpret Graphs of Quadratic Functions in Context- Vertex Warmu

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?

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Tags

CCSS.HSF-IF.C.7A

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Answer explanation

The graph has a minimum value, indicating the lowest point it reaches. A maximum value would suggest a peak, which is not the case here.

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.

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?

a. x at vertex

b. y at vertex

c. positive zero

• x at vertex

• y at vertex

• positive zero

Answer explanation

We are looking for the maximum height the soccer ball reaches, which corresponds to the y-coordinate at the vertex of its trajectory. Therefore, the correct choice is 'y at vertex'.

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?

a. x at vertex

b. y at vertex

c. positive zero

• 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 projectile's height function. This indicates when the rocket returns to the ground after launch.