Sketch the graph of the quadratic function. Give the vertex and axis of symmetry.f(x) = (x - 4)2 + 5

A. vertex (-4, 5); axis of symmetry x = -4
 
B. vertex (5, 4); axis of symmetry x = 5

C. vertex (-5, -4 ); axis of symmetry x = -5
 
D. vertex (4, 5); axis of symmetry x = 4
 


Answer: D

Mathematics

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B.
C.
D.

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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 + 5

A. vertex: (3, 4)
axis of symmetry: x = 3
x-intercepts: 1 and 5; y-intercept: -5
domain: (-?, ?); range: (-?, 4]

B. vertex: (-3, 4)
axis of symmetry: x = -3
x-intercepts: -1 and - 5; y-intercept: -5
domain: (-?, ?); range: (-?, 4]

C. vertex: (-3, -4)
axis of symmetry: x = -3
x-intercepts: -1 and - 5; y-intercept: 5
domain: (-?, ?); range: [-4, ?]

D. vertex: (3, -4)
axis of symmetry: x = 3
x-intercepts: 1 and 5; y-intercept: 5
domain: (-?, ?); range: [-4, ?]

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Find values of x and y, if any, that will make the matrices equal. ? ?

A.
B.
C.
D.
E. no solution

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Use the quadratic formula to solve the equation.x2 - x = 20

A. 1, 20 B. -4, -5 C. -4, 5 D. 4, 5

Mathematics