Graphing Quadratic Functions

Front

What is the formula primarily used for in graphing quadratic functions?

Back

Finding the axis of symmetry from standard form.

Tags

CCSS.HSF-IF.C.7A

Front

How do you know if a parabola has a minimum?

Back

When ‘a’ is positive there is a minimum.

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of a parabola in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).

Front

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

Back

The direction of the parabola (upward if 'a' is positive, downward if 'a' is negative).

Tags

CCSS.HSF-IF.C.7A

Front

What are the zeros of a parabola?

Back

The points where the graph intersects the x-axis.

Tags

CCSS.HSF-IF.C.7A

Front

How can you find the axis of symmetry of a parabola?

Back

Using the formula x = -b/(2a) from the standard form of the quadratic equation.

Front

What does it mean if a parabola opens upwards?

Back

The vertex is a minimum point.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a parabola opens downwards?

Back

The vertex is a maximum point.

Tags

CCSS.HSF-IF.C.7A

Front

How do you determine the number of solutions from a quadratic graph?

Back

By observing the x-intercepts; no intercepts means no solutions, one intercept means one solution, two intercepts mean two solutions.

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c.