Math

Create a table of values for y=x² and use it to plot the parent parabola.

Identify the vertex, axis of symmetry, opening direction, and minimum or maximum of a parabola from its graph.

Predict how the coefficient a in y=ax² changes a parabola through reflection, vertical stretching, or vertical compression.

Graph a quadratic function in vertex form y=a(x−h)²+k using transformations of y=x².

Determine the domain and range of a quadratic function from its graph or vertex form.

Find the x-intercepts and y-intercept of a quadratic function written in factored or standard form.

Graph a quadratic function in factored form using its zeros, axis of symmetry, and vertex.

Find the axis of symmetry and vertex of y=ax²+bx+c using x=−b/(2a).

Sketch a quadratic function in standard form using its vertex, intercepts, and opening direction.

Solve a quadratic equation by interpreting the x-intercepts of its graph.

Create a table of values and sketch the cubic parent function y=x³.

Sketch a transformed cubic function of the form y=a(x−h)³+k.

Identify the vertical and horizontal asymptotes of a transformed reciprocal function y=a/(x−h)+k and use them to sketch its graph.

Create a table of values for an exponential function y=bˣ and use it to identify its intercept and horizontal asymptote.

Classify linear, quadratic, cubic, reciprocal, and exponential graphs from their defining visual features.