Identify parts of a parabola

Front

What is a Parabola?

Back

The graph of a quadratic function.

Tags

CCSS.HSF-IF.C.7A

Front

What are the x-intercepts of a parabola?

Back

The points where the graph intersects the x-axis.

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph, depending on its orientation.

Front

What is the axis of symmetry in a parabola?

Back

The vertical line that divides the parabola into two mirror-image halves.

Front

What does it mean if a parabola opens upwards?

Back

It has a minimum point (vertex) and the arms extend upwards.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a parabola opens downwards?

Back

It has a maximum point (vertex) and the arms extend downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What are the roots of a parabola?

Back

The values of x where the parabola intersects the x-axis, also known as zeros.

Tags

CCSS.HSF-IF.C.7A

Front

How can you find the vertex of a parabola given its equation in standard form?

Back

Use the formula x = -b/(2a) from the quadratic equation ax^2 + bx + c.

Front

What is the significance of the 'a' value in the quadratic equation?

Back

It determines the direction and width of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What is the y-intercept of a parabola?

Back

The point where the graph intersects the y-axis.

Tags

CCSS.HSF-IF.C.7A