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13 questions
Consider the equation y = x2 + 5x – 6. Determine whether the function has a maximum or minimum value. S
min.; 0
min.; –12.25
max.; 0
max.; –12.25
Which equation corresponds to the graph shown?
y = x2 + 7x – 12
y = x2 – x – 12
y = x2 + 5x + 12
y = x2 + 12x – 1
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = 2x2 – 12x + 6.
x = –3; (–3, 60)
x = 3; (3, –12)
x = –3; (–3, 78)
x = 3; (3, 6)
Find the coordinates of the vertex of the graph of y = –2x2 – 8. Identify the vertex as a maximum or a minimum point.
(–2, –16); minimum
(2, –16); maximum
(–2, 8); maximum
(0, –8); maximum
Which appears to be the root(s) of the quadratic equation whose
related function is graphed at the right?
2
3
0, 4
–4, 0
Find the value of c that makes x2 + 10x + c a perfect square trinomial.
–25
–5
10
25
What value of c makes x2 + 24x + c a perfect square trinomial?
576
144
24
12
Which step is not performed in the process of solving n2 – 12n – 10 = 0 by completing the square?
Add 10 to each side.
Add 36 to each side.
Factor n2 – 12n – 10 = 0.
Take the square root of each side.
Which equation is equivalent to x2 – 12x – 7 = 0? HINT: Use the method: completing the square
(x – 6)2 = 50
(x – 3)2 = 13
(x – 3)2 = 20
(x – 6)2 = 43
Solve the equation by using the Quadratic Formula. Round to the nearest tenth if necessary. 4x2 + 11x – 3 = 0
–2.4, –0.3
–0.25 , 3
0.3, 2.4
–3, 0.25
Solve the equation by using the Quadratic Formula. Round to the nearest tenth if necessary. x2 + 8x = 2
–8.2, 0.2
8.2, –0.2
0.3, 7.7
–7.7, –0.3
Determine the number of real solutions of 7x2 – 18x + 12 = 0.
2
infinitely many
none
1
Look for a pattern in the table of values to determine which model best describes the data.
linear
exponential
quadratic
none of these
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