Find the equation of the quadratic function that has the given vertex and given point on its graph.Vertex: (4, -5) through: (-3, -103)
A. P(x) = -3x2 - 16x + 37
B. P(x) = 2x2 - 16x - 5
C. P(x) = -2x2 - 4x - 5
D. P(x) = -2x2 + 16x - 37
Answer: D
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A. -168p3 B. -80p10 - 88p7 C. -168p10 - 80p7 D. -80p10 + 11p4
Determine the x- and y-intercepts of the graph of the quadratic equation.y = -x2 + 2x + 8
A. x-intercepts: -4, 4; y-intercept: 8 B. x-intercepts: -4, 2; y-intercept: 8 C. x-intercepts: -2, 2; y-intercept: 8 D. x-intercepts: -2, 4; y-intercept: 8
Simplify using the rules for raising a quotient to a power and raising a fraction to a negative power.4
A.
B. -
C. -
D.
Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.t2 + 2t + 1 = 0
A. One rational solution (a double solution) B. Two distinct nonreal complex solutions C. Two distinct rational solutions D. Two distinct irrational solutions