Question

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-

intercepts in the graph of g(x) = x² +2. Be sure to include the transformations that occurred between the parent function
fb and its image gb().

Answer 1

f(x) has 1 x intercept at x=0 because there is an x value that exists when y=0. For g(x), by adding 2 to x^2 it moves the parent function up 2 so there is now no x-intercept.

Answer 2

f(x) has 1 x intercept at x=0 because there is an x value that exists when y=0. For g(x), by adding 2 to
`x^(2)` it moves the parent function up 2 so there is now no x-intercept.

Explanation: