Find the vertex, focus, and directrix of the parabola. Graph the equation.(y - 2)2 = -4(x + 3)

A. vertex: (-3, 2)
focus: (-4, 2)
directrix: x = -2

B. vertex: (-3, 2)
focus: (-3, 1)
directrix: y = 3

C. vertex: (-2, 3)
focus: (-3, 3)
directrix: x = -1

D. vertex: (3, -2)
focus: (3, -3)
directrix: y = -1


Answer: A

Mathematics

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Tell whether the given equation describes a parabola, an ellipse, or a hyperbola.r = 

A. Parabola B. Ellipse C. Hyperbola

Mathematics

Use graphical methods to find any turning points of the graph of the function.f(x) = 

A. (1, 0), (-1, 0) B. (1, 0), (0, -1), (-1, 0) C. No turning points D. (0, -1)

Mathematics

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.f(x) = 4(x2 + 4)(x2 + 3)2

A. -4, multiplicity 1, touches x-axis; -3, multiplicity 2, crosses x-axis
B. -4, multiplicity 1, crosses x-axis; -3, multiplicity 2, touches x-axis
C. No real zeros
D. 2, multiplicity 1, crosses x-axis; -2, multiplicity 1, crosses x-axis;
, multiplicity 2, touches x-axis; -, multiplicity 2, touches x-axis

Mathematics

Simplify the exponential expression. Write the result using only positive exponents.

A.
B.
C.
D.

Mathematics