If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

a. since the function is even, the output of a negative x-value and its opposite is the same.
b. since the function is even, the output of a negative y-value and its opposite is the same.
c. the graph has rotational symmetry, so the point will be reflected across the y-axis.
d. the graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

Question 6 (10 points) ✓ saved what is the center of a circle described by the equation x2 + y2 +10y = -16? . (0,-5) (0,5) (-5,0) (5,0)

The frequency table shows the results of a survey asking people how many hours they spend online per week. on a piece of paper, draw a histogram to represent the data. then determine which answer choice matches the histogram you drew. in order here is the.. hours online: 0-3, 4-7, 8-11, 12-15, and 16-19. frequency: 5, 8, 10, 8, 7 answer for the question is in the picture! : )

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.