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 - 2x + 3
A. vertex: (-1, 4)
axis of symmetry: x = -1
x-intercepts: 1 and - 3; y-intercept: 3
domain: (-?, ?); range: (-?, 4]
B. vertex: (1, 4)
axis of symmetry: x = 1
x-intercepts: -1 and 3; y-intercept: 3
domain: (-?, ?); range: (-?, 4]
C. vertex: (-1, -4)
axis of symmetry: x = -1
x-intercepts: 1 and - 3; y-intercept: -3
domain: (-?, ?); range: [-4, ?)
D. vertex: (1, -4)
axis of symmetry: x = 1
x-intercepts: -1 and 3; y-intercept: -3
domain: (-?, ?); range: [-4, ?)
Answer: A
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The height of a projectile fired upward with an initial velocity of 200 feet per second is given by the formula
?
?
where h is the height in feet and t is the time in seconds. Find the time required for the projectile to return to earth.
?
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Solve.5x2 - 5y2 = 45 4x2 + y2 = 36
A. (-3, -6
), (-3, 6
), (3, -6
), (3, 6
)
B. (-3, 0), (3, 0)
C. (0, -3), (0, 3)
D. (-3, 6
), (3, 6
)