Graph the given equation. Find the vertex, axis of symmetry, and intercepts.f(x) = x2 + 4x - 5
A. vertex: (-2, 9)
axis of symmetry: x = -2
x-intercepts: - 5 and 1; y-intercept: 5
B. vertex: (2, -9)
axis of symmetry: x = 2
x-intercepts: -1 and 5; y-intercept: -5
C. vertex: (-2, -9)
axis of symmetry: x = -2
x-intercepts: - 5 and 1; y-intercept: -5
D. vertex: (2, 9)
axis of symmetry: x = 2
x-intercepts: -1 and 5; y-intercept: 5
Answer: C
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An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in meters . Find the maximum displacement, the frequency, and the time required for one cycle.d = 4 cos 5t meters
A. displacement = 4 meters; period = seconds; f =
? oscillations/second
B. displacement = 4 meters; period = 5 ? seconds; f = oscillations/second
C. displacement = -4 meters; period = ? seconds; f =
oscillations/second
D. displacement = 4 meters; period = ? seconds; f =
oscillations/second
Simplify.2
A.
B.
C.
D.
Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. -
= 1
A. hyperbola B. ellipse
Solve the problem. Round to the nearest tenth if necessary.A 22-foot ladder is leaning against a house with the base of the ladder 6 feet from the house. How high up the house does the ladder reach? If necessary, round to the nearest tenth foot.
A. 21.2 ft B. 22.8 ft C. 16 ft D. 21.8 ft