Final Review - 2

Front

Solve for x: 2x + 6 = 0

Back

x = -3

Front

Find the Axis of Symmetry for the quadratic equation: y = x^2 + 6x + 2

Back

x = -3

Front

Simplify: (7 + 2i)(9 - 6i)

Back

75 - 24i

Front

What is the maximum height of an object launched upward at 64 ft/s from a height of 80 ft?

Back

144 ft

Front

Solve the equation: 4 - 2(x - 3) = 24

Back

x = -7

Front

Define the Axis of Symmetry in a quadratic function.

Back

The Axis of Symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

Explain the significance of the discriminant in a quadratic equation.

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the formula for the vertex of a parabola?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

Solve for x: x^2 - 9 = 0

Back

x = 3 or x = -3