Modeling Quadratic Functions

In f(x) = a(x - p)(x - q), what does "a" tell us?

• The slope

• If the Parabola opens up or down

• x coordinate of the x - intercept

• y coordinate of the y - intercept

Jack is throwing a baseball. What is the highest in the air the ball will get?

• y-intercept

• vertex

• plug in a value for x

• x-intercept

The profit that a company makes selling an item depends on the price of the item. If x is the price of the item, then 3 equivalent forms for the profit are standard form, vertex form, and factored form. Which form best reveals the prices that give a profit of $0?

• Standard: -2x² + 16x - 24

• Vertex: -2(x - 4)² + 8

• Factored: -2(x - 6)(x - 2)

The profit that a company makes selling an item depends on the price of the item. If x is the price of the item, then 3 equivalent forms for the profit are standard form, vertex form, and factored form. Which form best reveals the price that gives the maximum profit?

• Standard: -2x² + 16x - 24

• Vertex: -2(x - 4)² + 8

• Factored: -2(x - 6)(x - 2)

Which of the following statements are true about the graph? Select all that apply..

• The graph has a minimum.

• The graph has a maximum

• The graph has y-intercepts at (-4,0) and (0,0).

• The vertex is located at (-2,4).

Which of the following statements are true about the graph? Select all that apply.

• The graph has zeros of -4 and 0.

• The solution of the quadratic function represented by the graph is (-2,4).

• The y-intercept of the graph is (0,0).

• One solution of the quadratic function represented by the graph is (-4,0).

Which of the following equations best represents the graph?

• y = x(x + 4)

• y = x(x - 4)

• y = -x(x - 4)

• y = -x(x + 4)

A rocket is launched from a high platform and is modeling by the expression h(t) = -4t² + 19t + 24, where t represents the time in seconds after the launch. What property will give the height of the platform from which the rocket was launched?

• minimum

• maximum

• y-intercept

• x-intercept

A rocket is launched from a high platform and is modeling by the expression h(t) = -4t² + 19t + 24, where t represents the time in seconds after the launch. Which of the following expressions best reveals the height of the platform from which the rocket was launched?

• -4(t + 1)(t - 4)

• -4t² + 19t + 24

• -4(t - 2)² + 44

• -4(t - 2)² + 20

The profit that a company makes selling an item depends on the price of the item. If x is the price of the item, then 3 equivalent forms for the profit are standard form, vertex form, and factored form. Which form best reveals the profit when the price is 0?

• Standard: -2x² + 16x -24

• Vertex: -2(x - 4)² + 8

• Factored: -2(x - 6)(x - 2)