Practice Test Characteristics of Quadratic Graphs

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 setting y=0.

Front

Is the vertex of a quadratic graph a maximum or minimum point?

Back

The vertex can be either a maximum or minimum point depending on the direction of the parabola.

Front

What do we call the highest or lowest point of a quadratic?

Back

The highest or lowest point of a quadratic is called the vertex.

Front

How many solutions can a quadratic graph have?

Back

A quadratic graph can have zero, one, or two solutions.

Front

What is the maximum value of a quadratic function?

Back

The maximum value is the y-coordinate of the vertex when the parabola opens downwards.

Front

What is the minimum value of a quadratic function?

Back

The minimum value is the y-coordinate of the vertex when the parabola opens upwards.

Front

How do you find the x-intercepts of a quadratic equation?

Back

Set the quadratic equation equal to zero and solve for x.

Front

What does it mean if a quadratic graph has no real solutions?

Back

It means the graph does not intersect the x-axis, indicating the vertex is above or below the x-axis.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x-h)^2 + k, where (h,k) is the vertex.