Question

Describe how to transform the parent function y=x^2 to the graph

Answer 1

To transform the parent function y=x^2 to a graph, plot points by choosing x values, calculate corresponding y values, and connect the points to form a smooth curve.

Step-by-step explanation:

To transform the parent function y = x^2 to a graph, you can follow these steps:

1. Start by plotting several points on the graph by selecting values for x. For example, you can choose x = -2, -1, 0, 1, 2.
2. Calculate the corresponding values for y by substituting the x values into the equation y = x^2. For example, when x = -2, y = (-2)^2 = 4.
3. Plot the points (x,y) on a coordinate plane.
4. Connect the points with a smooth curve. This curve is the graph of the transformed function y = x^2.