Exploring Graphs of Quadratics

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph intersects the x-axis, where y = 0.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of a parabola.

Front

How many solutions can a quadratic equation have?

Back

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

Front

What does it mean if a quadratic graph does not intersect the x-axis?

Back

It means the equation has no real solutions.

Front

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

Back

Set y = 0 and solve for x.

Front

What is the axis of symmetry in a parabola?

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

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

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the effect of changing the value of 'b' in a quadratic equation?

Back

It affects the position of the vertex and the axis of symmetry.

Front

What is the effect of changing the value of 'c' in a quadratic equation?

Back

It shifts the graph up or down along the y-axis.