Writing Quadratic Equations Regression

Which of the following equations matches vertex form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Convert the equation into standard form:

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30

What piece of information does h identify in the following equation?
y=a(x-h)²+k

• y value of the vertex

• Axis of Symmetry

• Direction (facing up or down)

• x-intercept

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

What does "b" represent in y=a + bx?

• y-intercept

• slope

• macaroni

• nothing

What is the line of best fit? (Ignore the x = 30, y = ? point.)

• f(x) = 1.82 + 5x

• cannot be determined

• f(x) = 5.02 + 1.82x

• f(x) = 4.2 + 1.1x

Find the equation of the line of best fit for the given data

• y = 4.19 + 163.41x

• y = 4.19 - 163.41x

• y =163.41 - 4.19x

• y = -163.41+ 4.19x
  

Based on the table, which function can best be used to model this situation?

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3