Modeling With Quadratic Function

TEK A.8 (B)

• d(x) = 0.05x² + 0.74x

• d(x) = 0.05x² + 0.74x + 9.17

• d(x) = 0.26x² – 3.11x

• d(x) = 0.26x² – 3.11x + 1

Q32

• y = 0.001x² - 0.426x + 35.672

• y = -0.60x² + 348.1x - 334.2

• y = 0.001x² + 35.672

• y = -0.60x² - 334.2

Which function best models the data?

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function.

Which function best models the data?

TEK A.8 (B)

• d(x) = 0.05x² + 0.74x

• d(x) = 0.05x² + 0.74x + 9.17

• d(x) = 0.26x² – 3.11x

• d(x) = 0.26x² – 3.11x + 1

Click on the picture.

• F

• G

• H

• J

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

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)

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept