Area and Quadratic Functions

The scatterplot and table show the weekly profit in dollars earned from the sale of pastries at seven different prices. The data can be modeled by a quadratic function.

Which function best models the data?

The graph of quadratic function k is shown on the grid. Which statements are best supported by the graph of k? I. The x-intercept is located at (-3, 0) II. The coordinates of the y-intercept are (0,9). III. The axis of symmetry is x = -3.

• I and II only

• I and III only

• II and III only

• I, II, and III

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can be best used to model this situation?

Which graph best represents part of a quadratic function with a domain of all real numbers less than -4?

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Mathematical Equivalence

ON

Create the axis of symmetry on the graph of this quadratic function.

The graph of quadratic function r is shown on the grid.

Fill in the blanks using the drop down menu. Correct answers should be left to right on the x-axis and bottom to top on the y axis.

x intercepts: ​ (a)   ​ (b)  

y intercepts: ​ (c)   ​ (d)  

• (-10, 0)

• (2, 0)

• (0, -5)

• N/A

• (0, 10)

• (10, 0)

• (0, 2)

The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

A ball is thrown into the air with an initial velocity of 15 m/s. The height of the ball can be modeled by the equation h(t) = -2t^2 + 15t + 3, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to reach its maximum height?

• 3.75

• 4.5

• 5.25

• 2.5

• 100 feet

• 64 feet

• 140 feet

• 88 feet