Quadratic Equations That Model the Data

What type of function is this?

• Linear

• Exponential

• Quadratic

• Non-function

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

• y = 9(x - 1)² + 10

• y = 9(x - 1)² + 46

• y = -9(x - 1)² + 10

• y = -9(x - 1)² + 46

Which function best models the data?

• 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

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?

• y =

  0.001x² - 0.426x + 35.672

• y =

  -60.4x² + 348.1x - 334.2

• y = 0.001x² + 35.672

• y = -60.4x² - 334.2

Which function is equivalent to y = 3(x + 2)² + 7?

• y = 3x² + 12x + 33

• y = 3x² + 12x + 19

• y = 3x² + 19

• y = 3x² + 33

Which function best models the data?

• n(t) = -0.002t² + 0.55t + 5.02

• n(t) = 0.072t² - 0.15t + 2.73

• n(t) = -0.002t² + 5.02

• n(t) = 0.072t² + 2.73

Which standard form represents the quadratic equation y = 2(x - 4)² - 5?

• y = 2x² - 16x + 27

• y = 2x² - 16x + 21

• y = 2x² - 8x - 5

• y = 2x² - 8x + 27

Which vertex form represents the quadratic equation y = 4x² + 16x + 19?

• y = 4(x + 2)² + 3

• y = 4(x + 2)² + 19

• y = 4(x + 4)² + 3

• y = 4(x + 4)² + 19

A parabola opening up or down has vertex

(0,-2) and passes through (-4,0).

Write its equation in standard form (include y=)

Mathematical Equivalence

ON

A parabola opening up or down has vertex (0,5) and passes through (4,1). Write its equation in standard form (include y=)

Mathematical Equivalence

ON