Modeling With Quadratic Function

Find the quadratic function with vertex (0, 0) and passing through (-2, 8).  Then find the value of the function when x = 5.

• y = 50

• y = 5

• y = -15

• y = 25

Find the quadratic function passing through the points (0, -3), (1, 2), and (2, -1).

• y = - x² + 2x - 3

• y = x² - 2x + 3

• y = x² - 3

• y = - x² + 3

Write the equation of the parabola shown.  Then find the value of the function when x = 10.

• y = -78

• y = -63

• y = -33

• y = -51

Tags

CCSS.HSF-IF.C.7A

Y = a(x-h)² + k is called the ______________ form of a quadratic equation.

• Vertex

• Intercept

• Standard

• Usual

What information do you need to write an equation in vertex form? Select all that apply.

• an ordered pair anywhere on the parabola

• the coordinates for the vertex

• the formula for standard form

• the formula for vertex form

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

Which of the following statements are TRUE? Select all that apply.

• The "a" value is positive.

• The y-intercept is positive.

• It has two zeros.

• The axis of symmetry is x = 1.

• The vertex is at (0, 5).

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

Write the quadratic function in standard form given the intercepts are (-3,0) and (4,0) and it passes through the point (1,-24)

• f(x)= x²

• f(x)=2(2x²-2x-24)

• f(x)= x²-x-12

• f(x)=2x²-2x-24

Y = ax² + bx + c is called the ______________ form of a quadratic equation.

• Vertex

• Intercept

• Standard

• Usual