Identify parts of a Quadratic Graph

Front

What is the vertex of a quadratic graph?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on whether it opens upwards or downwards.

Front

What does it mean if a quadratic graph has a maximum value?

Back

It means the graph opens downwards and the vertex represents the highest point on the graph.

Front

What does it mean if a quadratic graph has a minimum value?

Back

It means the graph opens upwards and the vertex represents the lowest point on the graph.

Front

How do you determine the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value can be found at the vertex of the graph, which can be calculated using the formula x = -b/(2a) for the quadratic equation ax^2 + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic equation indicate?

Back

The 'a' value determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the axis of symmetry in a quadratic graph?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, and it passes through the vertex.

Front

How can you find the x-intercepts of a quadratic graph?

Back

The x-intercepts can be found by setting the quadratic equation equal to zero and solving for x.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, and it can be found by evaluating the quadratic equation at x = 0.

Front

What is the general shape of a quadratic graph?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards.