Quadratic Functions Worksheets With Answer Key - Pre-Calculus, Michigan State University Page 5

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3.2 Homework Problems:
Match each of the equations below with its graph.
y
y
2
1.
y
=
x
−
2
x
+
1
(a)
(b)
5
5
4
4
3
3
2
2.
y
= x
(
+
) 1
−
2
2
2
1
1
x
x
−5
−4
−3
−2
−1
1
2
3
4
5
6
−5
−4
−3
−2
−1
1
2
3
4
5
6
2
3.
y
=
x
−
2
x
+
2
−1
−1
−2
−2
−3
−3
2
−4
−4
4.
y
= x
−
−
1
−5
−5
−6
−6
y
y
(c)
5
(d)
5
4
4
3
3
2
2
1
1
x
x
−5
−4
−3
−2
−1
1
2
3
4
5
6
−5
−4
−3
−2
−1
1
2
3
4
5
6
−1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
5. Find the vertex of each parabola.
2
2
2
(a)
f
(
x
=
( 2
x
−
) 3
−
1
(b)
f
(
x
)
=
−
( 3
x
+
) 1
+
5
(c)
f
(
x
)
=
2
x
−
8
x
+
3
2
2
2
(d)
f
(
x
)
=
−
2
x
+
8
x
−
1
(e)
f
(
x
)
=
x
+
3
x
−
10
(f)
f
(
x
)
=
5
−
4
x
−
x
2
6. Consider the quadratic function
f
(
x
)
= x
(
−
) 1
−
4
.
(a) Find the coordinates of the vertex for the parabola.
(b) Find the equation for the axis of symmetry.
(c) Find the x- and y-intercept(s).
(d) Identify the function’s domain and range.
2
7. Consider the quadratic function
f
(
x
)
=
−
2
x
−
12
x
+
3
.
(a) Find the coordinates of the vertex for the parabola.
(b) Find the equation for the axis of symmetry.
(c) Identify the function’s domain and range.
8. Write an equation in standard form of the parabola that has the characteristics below.
(a) vertex at (1, -8); passing through the point (3, 12)
(b) vertex at (5, 2); passing through the point (8, -25)
9. A rectangular plot is to be fenced off on all four sides and divided into two parts/plots. Find the length
and width of the plot that will maximize the area if you have 200 feet of fence. What is the largest area
that can be enclosed?
10. A rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn. If
you do not fence the side along the barn, find the length and width of the plot that will maximize the
area if you have 200 feet of fence. What is the largest area that can be enclosed?
BARN
Page 5 (Section 3.2)

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