Quadratic Functions Review Worksheets With Answer Key Page 6

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Name: ________________________
ID: A
Problem
2
1. a) Write the function y = –(x – 2)
+ 9 in standard form.
b) Sketch the graph of the function. Use your answer to part a) to identify the y-intercept.
2
2. Consider the function y = –2(x – 12)
+ 18.
a) What is the axis of symmetry of the graph of the function.
b) What is the vertex of the graph of the function?
c) State the domain and range of the function.
3. A store can increase its profit by increasing the price of the sweaters it sells. The relation between the
income, R, and the dollar increase in the price per sweater, d, can be modelled by the equation
R = −50 d − 3.5
+ 4500 .
2
(
)
a) What is the maximum possible income?
b) What would the income be if the price per sweater were increased by $10?
4. A baseball batter hits an infield fly ball. The height, h, in metres, of the baseball after t seconds is
2
approximately modelled by the function h(t) = –5t
+ 4t + 1.
a) State the domain and range of the function.
b) What is the initial height of the ball?
c) How long does it take for the ball to hit the ground?
6

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