Modeling Quadratic Functions

A system that contains one linear function and one quadratic function can have 0, 1, or 2 solutions.

• True

• False

• Cannot be determined

• Nobody cares

Tags

CCSS.HSA.REI.C.7

Find the solution(s).

• (-1,7) and (0,5)

• (-4,2) and (-5,8)

• (-2,6) and (10,15)

• (-2,4) and (6,12)

Tags

CCSS.HSA.REI.C.7

What are the solutions to this quadratic/ linear system?

• (-2, 0) and (3,0)

• No Solutions

• -6 and -10

• (1,-6)

Tags

CCSS.HSA.REI.C.7

• A

• B

• C

• D

• A

• B

• C

• D

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

• y = -4(x - 2)(x - 4)

• y = -4(x + 2)(x + 4)

• y = 4(x - 2)(x - 4)

• y = -0.25(x - 2)(x - 4)

Given the equation above, which of the following statements is FALSE?

• The graph opens upward.

• The vertex is at (7, 4).

• The parabola crosses the x-axis twice.

• The standard form is y= 2x² - 28x + 102.

• The axis of symmetry is x = 7.

Tags

CCSS.HSF-IF.C.7A

What is the equation in vertex form?

• y = -4(x + 3)² - 4

• y = -4(x - 3) - 4

• y = -4(x + 3)² + 4

• y = -4(x - 3)² + 4

The table shows the average braking distances of a car at various speeds.  The braking distance is the distance the car travels before coming to a stop after its breaks are applied.  Use a quadratic model to predict the breaking distance at 70mph.  

• 245 ft

• 225 ft

• 285 ft

• 265 ft

What function has a vertex of (-6,4) and passes through (-5,0)?

• y = -4(x + 6)² + 4

• y = -2(x - 6)² + 4

• y = 3(x + 6)² + 4

• y = -(x - 6)² + 4