WorksheetsIM2H Fall Final Review
Total questions: 60
Worksheet time: 2hrs 0mins
Select all angles that are congruent to ∠1
2
3
4
5
6
Select all angles that are supplementary to ∠3
2
1
4
5
6
Determine the unknown angle measures in this pentagon.
90
135
45
540
315
Determine the measure of the fourth interior angle of a quadrilateral if you know the other three measures are 89°, 80°, and 104°.
104
89
360
87
80
Determine m∠NPQ in △MNP
10
100
63
37
90
Select the quadratic equations.
y = 4x2 - 3x + 12
3x + 4y = 7 - x2
0 = (x - 4) - y + 5
f(x) = 3(x + 11)2 - 2
g(x) = 2x
Given y = x2 + 4x + 7, find the axis of symmetry.
x = 4
x = 1
x = 2
x = -4
x = -2
Given g(x) = -4x2 + 8x - 2 and axis of symmetry is x = 1. Find the vertex.
(1, 2)
(2, 1)
(1, 14)
(1, 10)
(10, 1)
Write a quadratic equation given the table.
f(x) = -(x + 3)2 + 7
f(x) = -2(x + 3)2 + 7
f(x) = (x + 3)2 + 7
f(x) = -2(x - 3)2 + 7
f(x) = 2(x - 3)2 + 7
Choose the correct characteristics of the graph.
Vertex: (0,0)
Domain: [0,∞)
Range: [-4,∞)
Domain: (-∞, ∞)
Range: y < -4
Choose the correct characteristics of the graph.
Vertex: (0,5)
Axis of Symmetry: x = 5
Max @ y = 5
Min @ y = 5
Range: (-∞,5]
What is the equation for the given graph?
y = ½x2 + 8x + 16
y = -½x2 + 8x + 16
y = -½x2 - 4x - 8
y = -½x2 - 4x - 9
y = x2 + 8x + 16
Select the correct characteristics for the given the function.
f(x) = -⅓(x + 3)2 + 5
Range: y > 5
Wide
Concave Down
Min @ y = 5
Axis of Symmetry: x = -3
Choose the graph that matches the given equation.
f(x) = 3(x + 2)2 + 4
When starting at the graphed parent function f(x) = x2, which of the following are true of the graphed function f(x) = -(x + 3)2 - 7,
Wider
Shifted 3 right
Shifted 7 down
Concave down
Vertex: (3, -7)
Which of the following have the same axis of symmetry?
y = (x + 3)2 - 6
y = -4(x + 3)2 - 6
y = ⅕(x - 3)2 - 6
y = 2x2 + 12x + 12
y = -(x + 3)2 + 6
Write a quadratic equation given the table.
f(x) = 6(x - 1)2 - 1
f(x) = -(x + 1)2 - 1
f(x) = -(x - 1)2 - 1
f(x) = -½(x - 1)2 - 1
f(x) = -½(x + 1)2 - 1
Given f(x) = x2 graphed, select the following functions that would be graphed to the right.
f(x) = -2(x - 3)2
f(x) = 5(x - 4)2 - 8
f(x) = (x + 2)2 + 1
f(x) = -½x2 - 6
f(x) = 9x2
Given y = -x2 + 6x - 11, select all the correct characteristics.
Concave down
Axis of Symmetry: x = -3
Vertex: (3, -2)
Wide
Normal
Given g(x) = -4x2 + 8x + 12 find the x and y intercepts.
(-1,0)
(0,-1)
(0,12)
(12,0)
(3,0)
Given y = x2 - 8x - 11, select all the correct characteristics.
Concave up
Axis of Symmetry: x = 4
Vertex: (-8, -11)
y-int: (0, -11)
Range: [-27, ∞)
Given g(x) = -4(x + 5)(x - 1) find the solutions.
(-1,0)
(0,-5)
(5,0)
(1,0)
(-5,0)
Write a quadratic equation given x-intercepts: 6 and -4; a = 3
y = 3(x - 6)(x - 4)
y = 3(x - 6)(x + 4)
y = 3(x + 6)(x - 4)
y = 3x2 - 6x + 4
y = 3x2 + 6x - 4
Given y = (x + 2)(x + 4), select all the correct characteristics.
Min @ y = -1
Axis of Symmetry: x = -3
Vertex: (-3, -1)
x-int: (4, 0)
Domain: [-1, ∞)
Given the graph write the correct function.
f(x) = (x - 4)(x + 1)
f(x) = -1/3(x + 4)(x - 1)
f(x) = -(x + 4)(x - 1)
f(x) = -1/3(x - 4)(x + 1)
f(x) = 1/3(x + 4)(x - 1)
The graph of a function, f(x), is plotted on the coordinate plane. Select the following function that would move the graph of the function up on the coordinate plane
f(x) + 3
f(x + 4)
f(x - 2)
f(x) - 1
(Hint: Look for non-labeled parts!)
CB / DM = AC / ?
AB / BM = ? / CD
