Suppose that f(x) = x^2 and g(x) = 2/3x^2 Which statement best compares the
graph of g(x) with the graph of f(x)?

The input is x while the output is y = f(x). If we multiply both sides of y = f(x) by 2/3, then we'll get (2/3)y = (2/3)f(x) = (2/3)x^2

We see that the new outputs are 2/3 the size of the original. So the graph is shorter and has been vertically squished or compressed. If we multiplied both sides by some number larger than 1, then the graph will be vertically stretched.

No reflection has been done because that only happens if we multiplied both sides by a negative value. The negative flips things around (from positive to negative or vice versa).

square root

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).