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Test 4

MAT 1101

Summer 2010

Name ______________________

This test is take-home, so you may use your notes, book, Excel, MathGV, etc. This test is due back to me

at the beginning of class on Tuesday, September 7, 2010. Late tests will not be accepted. Don’t forget to

simplify all of your answers and attach all of your work!

2

1. Find the vertices of the functions:

2. Graph the following function: f(x) = 2x

– 8x + 5

2

a) f(x) = 3x

– 18x – 16

x

y

(3, –43)

0

5

1

–1

2

–3

3

–1

2

b) f(x) = –4.9(x + 3.4)

+ 11.1

4

5

(–3.4, 11.1)

See graph

2

3. Solve for x, if possible: x(3x – 11) = –7

4. Graph the following function: f(x) = – (x – 4)

+ 3

x

y

6

–1

5

2

x ≈ 2.8471 ; x ≈ 0.8195

4

3

3

2

2

–1

See graph

5. Given the graph of the quadratic equation at the right, find:

a) the vertex of the equation _____(5, –4)_________

b) f(4) = __–1__

c) the x-intercepts of the equation __6.155_, __3.845__

(Round to thousandths, if necessary.)

2

d) the equation of the parabola ___y = 3(x – 5)

– 4 __

x

y

6. Find the equation of the parabola that has a vertex

7. Find the equation of the parabola

4

5

of (1, 2) and passes though the point (0, –5).

that fits the given data.

5

3.5

6

3

1

2

2

y = –7(x – 1)

+ 2

y =

(x – 6)

+ 3

7

3.5

2

8

5

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