1. Convert to standard form: y = (x+3)² - 2

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Transcript 1. Convert to standard form: y = (x+3)² - 2

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1. Convert to standard form:
y = (x+3)² - 2
2. Covert to vertex form:
y = x² + 2x – 4
3. Factor:
2s² + 5s - 3
4. Solve (by any method)
x² + 3x +4 = 0
5. Find the vertex for the equation:
y = -2x² + 4x +5
6. Solve:
3(x +2)² + 4 = 16
7. What is the range of the graph
for this equation?
(Hint: graph it!)
y = -3x² + 6x + 3
8. What is the
minimum value of
the function? Where
does the min occur?
9. Describe the end behavior of the graph:
As x→-∞ , f(x) → ___
and
As x→+∞ , f(x) → ___
10. Convert to standard form:
y = -2 (x-2)² - 4
11. Solve (by any method):
2x² - 15x = -7
12. What is the domain of the graph of
y = -3x² +5x -6 ?
13. Is (4,-3) a solution for the equation
y ≤ ½ x² + 5x + 3 ?
14. Solve (by any method):
5x² - 5x = -5
15. Find x. Area = 44
X+4
X-3
16. What is the
interval of
increase for the
graph?
17. Solve algebraically.
2x² - 5x -4 ≥ 0
(write answer as an inequality)
18. What is the axis of
symmetry for the graph of
the equation
Y = -2(x+5)² -5?
19. Describe
the value of
the
discriminant of
the function
whose graph is
shown here.
(hint: positive,
negative, or
zero)
20. What is
the interval
of decrease
of the
graph
shown?
21. Which of the
following inequalities
is graphed here?
a. y ≥ -x² + 4x -3
b. y > -x² + 4x -3
c. y < -x² + 4x -3
d. y ≤ -x² + 4x -3
22. Solve the equation:
2x² + 8 = 0
23. Factor.
5x² - 2x - 3
24. Write in vertex form:
y = x² + 6x - 5
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ANSWERS MUST BE WRITTEN THE WAY
THEY APPEAR ON THE SCREEN TO BE
CORRECT. (ex. X=3 not just 3)
(1,7)
Y = (x + 3)² - 14
(-∞, 6]
X = 0 , -4
( -∞, +∞)
X=7
( 5x + 3)( x – 1 )
( -∞, 1)
X = ± 2i
( -4,+∞)
Y = -2x² + 8x - 12
+∞
+∞
X = -5
Min Value = -3
@ x =-4
x² + 6x +7
Y = (x + 1)² - 5
Negative
B
X < -½ or x > 3
Yes, it is a
solution
X = ½, 7