In two or more complete senteces compare the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in th

Question

3 years ago

10

In two or more complete senteces compare the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in th

e graph of g(x)=x^2-7. Be sure to include the transformation that occured between the parent function f(x) and its image g(x)

Mathematics

1 answer:

VARVARA [1.3K] · Answer 1 · 2022-07-19T08:31:15+03:00

Answer:

Step-by-step explanation:

f(x) = x² is an up-opening parabola with vertex (0,0). There is one x-intercept, and that is the vertex.

g(x) = x²-7 is the equivalent to f(x) shifted down 7 units. Since the vertex is below the x-axis and the parabola opens upwards, it intercepts the x-axis at two points.