Modeling With Quadratic Function

Two characteristics of quadratic function p are given.

*The axis of symmetry of the graph of p is x = -3.

*Function p has exactly one zero.

Based on this information, which graph could represent p?

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Tags

CCSS.HSF-IF.C.7A

Determine if the table is Linear, Quadratic or other.

• Linear

• Quadratic

• Other

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

What function has a vertex of (-2,-5) and passes through (0,7)?

• y = 3(x + 2)² - 5

• y = 5(x + 2)² - 5

• y = 4(x - 2)² + 5

• y = 2(x + 2)² + 5

What is the equation of the table?

• y=-5x+10

• y=x^2-5x+6

• y=-5x^2+10x+.89

Which of the following is the equation of the quadratic that contains (-5, 0), (-3, 8), and (-2, 6)

Write the equation of the quadratic if it goes through (-1, 2) and has the given intercepts.

• y=5/2 (x-0)(x-4)

• y = 2/5 (x-0)(x-4)

• y= 2/3 (x-0)(x-4)

• y= 3/2 (x-0)(x-4)

What is the zeros of the equation: y = 2(x - 7)(x + 3)

• 2

• -7, 3

• 7, -3

• -2

Tags

CCSS.HSF-IF.C.7C

What is the equation of the parabola?

• y =(x - 1)(x-3)

• y = -1/2(x - 1)(x + 3)

• y = 2(x + 1)(x - 3)

• y = - 1(x- 1)(x - 3)

Tags

CCSS.HSF-IF.C.7A