Quadratic Solutions

Front

What is a quadratic equation?

Back

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x that make the function equal to zero. They can be found using factoring, completing the square, or the quadratic formula.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

Front

How do you determine the number of solutions for a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if a quadratic equation has no real solutions?

Back

If a quadratic equation has no real solutions, it means that the graph of the quadratic function does not intersect the x-axis, which occurs when the discriminant is negative.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Front

How can you find the roots of a quadratic equation graphically?

Back

The roots of a quadratic equation can be found by identifying the x-intercepts of its graph. These are the points where the graph crosses the x-axis.

Front

What is the vertex of a quadratic function?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the significance of the leading coefficient in a quadratic function?

Back

The leading coefficient (a) determines the direction of the parabola: if a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

How do you solve a quadratic equation by factoring?

Back

Tags

CCSS.HSA-REI.B.4B