Quadratic Graphs

Front

What is a quadratic graph?

Back

A quadratic graph is a graph of a quadratic function, which is a polynomial function of degree 2, typically in the form y = ax² + bx + c.

Tags

CCSS.HSF-IF.C.7A

Front

What shape does a quadratic graph form?

Back

A quadratic graph forms a parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it has a minimum value at its vertex.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it has a maximum value at its vertex.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation y = ax² + bx + c.

Front

What are the x-intercepts of a quadratic graph?

Back

The x-intercepts are the points where the graph crosses the x-axis, found by solving the equation ax² + bx + c = 0.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

The 'a' value determines the direction of the parabola (upward if positive, downward if negative) and affects the width of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What is the y-intercept of a quadratic graph?

Back

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at x = 0.

Tags

CCSS.HSF-IF.C.7A

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.