CKC4

o QUESTION Look at the graphs and their equations below. Then fill in the information about the coefficients 4, B, C, and D. P R y y=4 | y=B | @ ANSWER A B C D Positive v | Positive v | Negative v (a) For each coefficient, choose whether it is positive or negative. Negative v (b) Choose the coefficient with the greatest value. (c) Choose the coefficient closest to 0. (a) A positive coefficient (k> 0) gives a graph that opens upward. A negative coefficient (k < 0) gives a graph that opens downward. We see that y =4 |x| andy =B |x| open upward, so the coefficients are positive. We also see thaty =C |x| andy=D |x| open downward, so the coefficients are negative. (b) Looking at the graphs, we see the following. A and B are positive (because y = 4 |x| andy=2B |x| open upward). C and D are negative (because y =C |x‘ andy=D ’xl open downward). So the greatest coefficient must be 4 or B. Of these, 4 gives the narrower graph, so 4 has the greatest value (is farthest from 0) (c) A wider graph has a coefficient k closer to 0. A narrower graph has a coefficient & farther from 0. We see that the function y =B |x| has the widest graph. So the coefficient B is closest to 0. y=3l | ov=a | v=2l | v=-Th (a) For each function, choose whether its graph opens upward or downward. | upward v | upward v | upward v | downward v (b) Choose the equation with the narrowest graph. (c) Choose the equation with the widest graph.