MCF 3M
WS 3.3
MORE Mid-Chapter Review
1.
Express the quadratic function in standard form.
2.
For the quadratic function below, determine the coordinates of the vertex without graphing.
3.
Describe how you would determine the x-intercepts from the factored form of a quadratic equation.
4.
Describe how you would find the axis of symmetry for a quadratic function in standard form.
5.
Graph the corresponding function to determine the roots of each equation
.
y
5
4
3
2
1
–8
–7
–6
–5
–4
–3
–2
–1
–1
1
2
3
4
5
6
7
8
x
–2
–3
–4
–5
–6
–7
–8
–9
–10
–11
–12
–13
–14
–15
–16
–17
6.
Write the corresponding quadratic equation whose solutions are also the zeros of the function graphed below.
y
8
7
6
5
4
3
2
1
–2
–1
–1
–2
1
2
3
4
5
6
7
8
x
7.
What is the minimum number of zeros that a quadratic function can have? Explain.
8.
What is a quadratic equation? Give an example.
9.
The graph of a function has x-intercepts at (0, 3) and (0, 3). Write a quadratic equation that could correspond to
this function.
10.
Determine whether
11.
At a craft store, the weekly revenue function for floral wire sold can be modelled with R
,
where both the revenue R(x), and the cost, w, of a roll of floral wire are in dollars. According to the model, what
cost will give the maximum revenue?
12.
In a quadratic equation, which values represent the break even point for a company? Explain.
13.
John hits a golf ball into the ocean from a cliff that is 90 metres high. The function
gives the
approximate height of the golf ball above the water, where
is the height in metres and t is the time in seconds.
When will the ball hit the water?
14.
What is the first step in solving
15.
How do you factor the difference of squares? Give an example.
16.
The manager of a feed store knows that the weekly revenue function for bird seed sold can be modelled with
, where both the revenue, R(x), and the cost, x, of a sack of bird seed are in dollars.
According to the model, what cost will give the maximum revenue?
is a root of the quadratic equation
. Explain.
?
SELECTED ANSWERS
1.
10. No
2. (0.75, 3.125)
11. $5
5. zeros: 2, 6
13. 6 s
6.
16. $5.00
9. Answers may vary.