Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = x2 - 6x
A. vertex: (3, -9)
axis of symmetry: x = 3
x-intercepts: 0 and 6; y-intercept: 0
domain: (-?, ?); range: [-9, ?)
B. vertex: (-3, 9)
axis of symmetry: x = -3
x-intercept: none; y-intercept: 18
domain: (-?, ?); range: [9, ?)
C. vertex: (-3, -9)
axis of symmetry: x = -3
x-intercepts: 0 and -6; y-intercept: 0
domain: (-?, ?); range: [-9, ?)
D. vertex: (3, 9)
axis of symmetry: x = 3
x-intercept: none; y-intercept: 18
domain: (-?, ?); range: [9, ?)
Answer: A
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A. No B. Yes
Perform the indicated operations. Write answers using only positive exponents. Assume variables represent positive real numbers.
A.
B.
C.
D.
Two similar triangles are given. Find the proportionality constant k such that the length of each side of the larger triangle is k times the length of the sides of the smaller triangle. Then find the length of the missing sides of each triangle.
A. QS = 5, UV = , TV =
B. QS = 5, UV = , TV =
C. QS = 4, UV = , TV =
D. QS = 4, UV = , TV =
Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator.tan 720°
A.
B. 0
C. -1
D. undefined