Quadratic Formulas

I have 200 m of fencing to build a rectangular yard. The yard's area (in square meters) as a function of the garden's width (in meters) is as follows:

A(x)=−(x−25)^2+625

What is the maximum possible area?

A mountain goat jumps from a rock cliff. Its height (in meters), x seconds after it jumps, is modeled by:

h(x) = -(x-1)^2+5

How high is the rock cliff?

The same mountain goat jumps from the same rock cliff. Its height (in meters), x seconds after it jumps, is still modeled by:

h(x) = -(x-1)^2+5

What is the maximum height reached by the goat?

How many points do you need to know at a minimum to fully define a quadratic function?

• 1 point

• 2 points

• 3 points, and I can use symmetry to find point coordinates across the axis of symmetry

• 50 points

Tags

CCSS.HSF-IF.C.7A

2a

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve 2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Identify the values of A, B, and C

• A=1, B=7, C=-20

• A=10, B=7, C=20

• A=10, B=-7, C=-20

• A=10, B=7, C=-20

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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Tags

CCSS.HSA-REI.B.4B

Identify the values of A, B, and C
11r² + 6r = 6

• A=11, B=-6, C=-6

• A=11, B=6, C=6

• A=11, B=6, C=-6

• A=1, B=6, C=-6

Identify the values of A, B, and C

5x² + x - 18 = - 9x + 3x²

• A=2, B=10, C=-18

• A=5, B=1, C=-18

• A=8, B=-8, C=-18

• A=2, B=9, C=-18