Question 1077977
y=x^2 has  an intercept at the origin (with multiplicity 2, meaning it has a "bounce" at that point.
When the function is moved upward 7 units(+7) and the sign is changed to -x^2, it is concave upward, rather than downward, and now it will have two x-intercepts or roots, at (sqrt(7),0) and (-sqrt(7),0)
{{{graph(300,300,-5,5,-5,10,x^2,-x^2+7)}}}