91Ó°ÊÓ

Use the discriminant to determine the number of solutions of each quadratic equation.

$3q^2−10q+12=0$

Use factoring, the Square Root Property, or the Quadratic Formula to solve.

Find two consecutive even numbers whose product is

$360$

Use factoring, the Square Root Property, or the Quadratic Formula to solve.

The length of a diagonal of a rectangle is three more than the width. The length of the rectangle is three times the width. Find the length of the diagonal. (Round to the nearest tenth.)

For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x-and y-intercepts, and (e) the maximum or minimum value.

$y=3x^2+6x+8$

For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x-and y-intercepts, and (e) the maximum or minimum value.

$y=x^2-4$

For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x-and y-intercepts, and (e) the maximum or minimum value.

$y=x^2+10x+24$

For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x-and y-intercepts, and (e) the maximum or minimum value.

$y=-3x^2+12x-8$

For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x-and y-intercepts, and (e) the maximum or minimum value.

$y=−x^2−8x+16$

Solve the quadratic equation using square root property.

$(b+7{)}^2=8$

Graph the following parabolas by using intercepts, the vertex, and the axis of symmetry.

$y=2x^2+6x+2$