How many solutions are there to the equation below?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Here we can see that the parent function is and the translated function is g(x). f(x) is a parabola.
Rule says that any factor if multiplied by f(x) is going to contract the graph towards the y axis and vice versa.
Similarly any factor if f(x) is divided by some factor it is going to be stretch the graph away from the y axis and vice versa.
Here we can see that the translated graph g(x) is stretched away from the y axis with reference to the parent function f(x). Hence as per he rule discussed above, we get a preliminary information that the parent function f(x) is being divided by some factor.
now we are given that
Where as
{as given in the graph}
Hence
at x=3 , f(x) = 9 and g(x) = 1 , and also we have discussed above that f(x) is divided by some factor. Hence
Subtract the constant vector that is on the left. The arithmetic applies to corresponding elements of the vectors.