Use the number line to determine which of the following statements is true. Each tick is 1 unit. The quotient of P and S is positive. The absolute values of Q and R are the same. Q and S are opposite numbers. The product of R and S is negative.

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

If f(x) = 2x + 2 and g(x) = x? , what is (gºf)(2)?

The rectangle on the right is the image of the rectangle on the left. what transformation would result in this image? reflection rotation translation dilation