A frog hops according to a quadratic model that maps the height of the frog (in inches) in the air with respect to time (in seconds). If the frog leaps from the ground at t=0 seconds and then lands a t=3 seconds, write the quadratic model for the frogs's jump if you know that a=-16

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values

47

step-by-step explanation: