Ch. 18 & 21 Review #2
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Find the value(s) of x that satisfy the quadratic equation.
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1. 0 = 9 x +3 x -2
2. x 2 -7x +12= 0
3. 9x 2 +12x -5 = 0
Identify the vertex and axis of symmetry for each quadratic function below.
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2
4. y = x - 4 + 6
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2
5. y = x +1 - 2
Rewrite the equation in vertex form. Then identify the vertex and axis of symmetry.
6. y = x2 +16x -10
7. y = 2x2 + 8x - 7
Write an equation for each parabola shown, using the fact that one of its points is the vertex.
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9.
Write an equation for the quadratic function whose graph contains the given vertex and point.
10. Vertex (2, -5); Point (-4, 31)
11. Vertex (5, 1); Point (3, 13)
Find the x- and y-intercepts of the function. Graph each function. If a > 0, find the minimum value. If
a < 0, find the maximum value.
12. y = -x 2 +2x +3
13. y = x 2 +2x +1
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14. y = 2 x -2 -6
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15. y = -2 x +1 x -2
16. y = -x 2 +2
17. The difference between a number and its positive square root is 12. Find the number.
18. The hypotenuse of a right-angled triangle is 20 cm. The difference between its other two sides is
4 cm. Find the length of the sides.
19. The area of a rectangular field is 2000 sq.m and its perimeter is 180 m. Find the length and width
of the field.
20. A distributor of apple juice has 5000 bottles in the store that it wishes to distribute in a month.
From experience, it is known that demand D is given by D = -2000p² + 2000p + 17000. Find the price
per bottle that will result zero inventory.