Find the equation in the form Ax² + Cy² + Dx + Ey + F = 0 (with integer coefficients and A > 0) of a parabola with vertex at (–2, 3), axis the line x = –2, and passing through the point (0, 4).

What will be an ideal response?


x²+ 4x – 4y + 16 = 0

Mathematics

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The graph of a quadratic function is given. Determine the function's equation.

A. j(x) = x2 + 2 B. h(x) = x2 - 2 C. f(x) = x2 - 4x + 4 D. g(x) = x2 + 4x + 4

Mathematics

Solve by the method of your choice.y2 - 10y = -729

A. 5 ± 8
B. 5 ± 8i
C. -5 ± 8i
D. 5 ± i

Mathematics

Find zw or  as specified. Leave your answer in polar form.z = 8w = 3Find zw.

A. 12
B. 24
C. 12
D. 24

Mathematics

Simplify by factoring.

A. 75
B. 15
C. 5
D. 19

Mathematics