Math 3 wk 1

Front

What is the vertex of the parabola y=x²+8x+5?

Back

(-4,-11)

Front

What is the maximum value of the function y=-3x²+12x-8?

Back

4

Front

For the function y=-5x²-10x+c, if the vertex is (-1, 8), what is the value of c?

Back

3

Front

What is the complete factorization of 6x²+9x-6?

Back

3(2x-1)(x+2)

Front

What is the positive solution of the equation?

Back

1, 6

Front

Define a parabola.

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic function indicate?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

How do you find the vertex of a parabola in standard form?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

What is the axis of symmetry in a parabola?

Back

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