Quadratics Attributes #2

Front

What are the solutions to a quadratic function?

Back

The solutions to a quadratic function are the values of x that make the function equal to zero, also known as the roots or zeros of the function.

Front

What is another term for the zeros of a function?

Back

Roots.

Tags

CCSS.HSF-IF.C.7D

Front

How can you find the roots of a quadratic function?

Back

You can find the roots of a quadratic function using factoring, completing the square, or the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What does the vertex of a quadratic function represent?

Back

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

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

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

Tags

CCSS.HSF-IF.C.7A

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, given by the formula x = -b/(2a).

Front

How do you determine the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value of a quadratic function can be found at the vertex, calculated using the vertex formula: f(-b/(2a)).

Front

What is the range of a quadratic function that opens downward?

Back

The range of a quadratic function that opens downward is all real numbers less than or equal to the y-coordinate of the vertex.

Front

What is the range of a quadratic function that opens upward?

Back

The range of a quadratic function that opens upward is all real numbers greater than or equal to the y-coordinate of the vertex.