Quadratic Characteristics Math I Flashcard Review

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x for which the function equals zero. They are also known as the x-intercepts of the graph.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

What does the leading coefficient of a quadratic function indicate about its graph?

Back

The sign of the leading coefficient indicates the direction of the parabola. If the leading coefficient is positive, the parabola opens upwards; if it is negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What is another term for the x-intercept of a function?

Back

Zeros.

Tags

CCSS.HSF-IF.C.7D

Front

What is the definition of an x-intercept?

Back

An x-intercept is a point on the graph of a function where the value of y is zero.

Front

What is the definition of a y-intercept?

Back

A y-intercept is a point on the graph of a function where the value of x is zero.

Front

How can you find the zeros of a quadratic function algebraically?

Back

You can find the zeros of a quadratic function by setting the function equal to zero and solving for x, often using factoring, the quadratic formula, or completing the square.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the zeros of a quadratic equation ax² + bx + c = 0.

Tags

CCSS.HSA-REI.B.4B

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function, depending on the direction the parabola opens.

Front

How do you determine the vertex of a quadratic function in standard form?

Back

For a quadratic function in standard form y = ax² + bx + c, the vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting this value back into the function to find the y-coordinate.

Front

What is 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, and it passes through the vertex. Its equation is x = -b/(2a).