NAME ________________________________________________
DATE ______________________
PERIOD _______
REVIEW Quiz #7 quadratic functions
Find the coordinates of the vertex, the equation for the axis of symmetry and the y-intercept for each function.
1. f(x) = x² + 6x - 10
2. f(x) = 2x² - 8x + 1
3. f(x) = -x² - 2x + 5
V: (-3, -19)
AofS: x = -3
Y-int: (0, -10)
V: (2, -7)
AofS: x = 2
Y-int: (0, 1)
V: (-1, 6)
AofS: x = -1
Y-int: (0, 5)
Determine if the graph of the function has a maximum value or a minimum value. Then find the value.
4. y = x² - 4x + 1
5. y = -x² - 6x - 7
6. f(x) = x² + 2
minimum at -3
maximum at 2
minimum at 2
Determine which is the equation of the graph shown.
7.
8.
y = x² - 2x - 4
B. y = x² - 4
C. y = -x² + 2
A.
9.
y = x² - 2x + 3
B. y = -x² + 3
C. y = -x² + 2
y = x² - 2x - 6
B. y = x² + 4x - 6
C. y = x² - 2x - 2
A.
A.
Use the graph to determine the solution(s), if any. Check by factoring, if possible.
10. f(x) = x² + 7x + 12
11. f(x) = x² + 6x + 9
x = -3, -4
check: 0 = (x + 4)(x + 3)
x = -3
check: 0 = (x + 3)²
12.
f(x) = x² - 4x + 5
no solutions
Find the solution to the quadratic equation by graphing. Identify the vertex. Plot 4 additional points. Check by
factoring.
13.
f(x) = x² - 2x + 1
V: (1, 0)
x
-1
0
1
2
3
y
3
1
0
1
3
solution: x = 1
14.
f(x) = -x² + 2x + 8
V: (1, 9)
x
-1
0
1
2
3
y
5
8
9
8
5
solution: x = -2, 4