Quadratic Key Features

Front

What are the x-intercept(s) of the quadratic function?

Back

The x-intercept(s) are the points where the graph intersects the x-axis. For example, (0, 0) and (4, 0) are x-intercepts.

Tags

CCSS.HSF-IF.C.7A

Front

Define Vertex.

Back

The vertex is the highest or lowest point on the graph of a quadratic function.

Front

What is the vertex of the graph represented by the coordinates (3, -1)?

Back

The vertex of the graph is (3, -1).

Front

What are the green dots on a quadratic graph called?

Back

The green dots are called x-intercepts.

Tags

CCSS.HSF-IF.C.7A

Front

What is the maximum height of a ball represented by the y-value of the vertex?

Back

The maximum height of the ball is the y-value of the vertex, which is 5 feet.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.

Front

What does the 'a' in the quadratic equation y = ax^2 + bx + c represent?

Back

The 'a' value 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

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the significance of the y-intercept in a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, represented by the value of c in the standard form.

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A