Quadratic Equation Word Problem To Optimization (y) - Height over Ground

Level 1

The topics in this unit focus on constructing and solving quadratic equations from word problems. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Quadratic Equation Word Problem To Optimization (y) - Height over Ground Worksheet

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Quadratic Equation Word Problem To Optimization (y) - Height over Gro...
1
Given this equation for the height of a water jet as a function of distance from the fountain, what is the maximum height it reaches?
A LaTex expression showing h(x) = -10x to the power of 2 + 4x + 7
a A LaTex expression showing h = 5.4m
b A LaTex expression showing h = 9.4m
c A LaTex expression showing h = 7.4m
2
Given this equation for the height of a water jet as a function of distance from the fountain, what is the maximum height it reaches?
A LaTex expression showing h(x) = -11x to the power of 2 + 2x + 2
a A LaTex expression showing h = 2.091m
b A LaTex expression showing h = 3.091m
c A LaTex expression showing h = 6.091m
3
Given this equation for the height of a long jumper as a function of distance from the line, what is the maximum heigh they reach?
A LaTex expression showing h(x) = -11x to the power of 2 + 9x + 5
a A LaTex expression showing h = 5.841m
b A LaTex expression showing h = 10.841m
c A LaTex expression showing h = 6.841m
4
Given this equation for the height of a water jet as a function of distance from the fountain, what is the maximum height it reaches?
A LaTex expression showing h(x) = -3x to the power of 2 + 9x + 11
a A LaTex expression showing h = 17.75m
b A LaTex expression showing h = 22.75m
c A LaTex expression showing h = 19.75m
5
Given this equation for the height of a long jumper as a function of distance from the line, what is the maximum heigh they reach?
A LaTex expression showing h(x) = -9x to the power of 2 + 8x + 8
a A LaTex expression showing h = 12.778m
b A LaTex expression showing h = 11.778m
c A LaTex expression showing h = 9.778m
6
Given this equation for the height of a water jet as a function of distance from the fountain, what is the maximum height it reaches?
A LaTex expression showing h(x) = -2x to the power of 2 + 7x + 4
a A LaTex expression showing h = 5.125m
b A LaTex expression showing h = 10.125m
c A LaTex expression showing h = 12.125m
7
Given this equation for the height of a long jumper as a function of distance from the line, what is the maximum heigh they reach?
A LaTex expression showing h(x) = -2x to the power of 2 + 7x + 6
a A LaTex expression showing h = 12.125m
b A LaTex expression showing h = 9.125m
8
Given this equation for the height of a long jumper as a function of distance from the line, what is the maximum heigh they reach?
A LaTex expression showing h(x) = -4x to the power of 2 + 3x + 7
a A LaTex expression showing h = 7.563m
b A LaTex expression showing h = 2.563m
c A LaTex expression showing h = 10.563m