For the function f(x) = StartFraction 7 Over 2 EndFractionx – 16, what is the difference quotient for all nonzero values of h? StartFraction 7 Over 2 EndFraction 1 h StartFraction 7 h Over 2 EndFraction

12. decide whether each statement is always true, sometimes true, or never true. a. when corresponding points of an original figure and its reflection are connected, the resulting segments are all perpendicular to the line of reflection. b. when a point is reflected over a horizontal line, the y-coordinate of the point stays the same. answer both questions and explain

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?