Key Features of Quadratic Graphs Parabolas

Front

What is the x-value of the vertex in a quadratic graph?

Back

The x-value of the vertex is the point where the graph reaches its maximum or minimum height.

Front

What is the y-value of the vertex in a quadratic graph?

Back

The y-value of the vertex is the maximum or minimum height of the graph.

Front

What shape do quadratic equations take when graphed?

Back

Parabola.

Front

What is the y-intercept of a quadratic graph?

Back

The y-intercept is the point where the graph crosses the y-axis.

Front

What is the x-intercept of a quadratic graph?

Back

The x-intercept is the point where the graph crosses the x-axis.

Front

How do you find the vertex of a quadratic equation in standard form?

Back

Use the formula x = -b/(2a) to find the x-value, then substitute back to find the y-value.

Front

What does the term 'maximum height' refer to in the context of a quadratic graph?

Back

The maximum height is the highest point on the graph, represented by the y-value of the vertex.

Front

What does the term 'minimum height' refer to in the context of a quadratic graph?

Back

The minimum height is the lowest point on the graph, represented by the y-value of the vertex.

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, passing through the vertex.

Front

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

Back

If the coefficient of x^2 (a) is positive, the graph opens upwards; if negative, it opens downwards.