Wren recorded an outside temperature of –2°f at 8 a. m. when she checked the temperature again, it was 4°f at 12: 00 p. m. if x represents the time and y represents the temperature in degrees fahrenheit, what is the slope of the line through these two data points?

a.–1.5

b.–0.5

c.0.5

d.1.5

Let consider time on x-axis and temperature on y-axis.

The x-axis starts from “0” corresponds to “8 a.m”. Thus after 4 hours, the time will be “12pm”. So we have two values on x-axis, one is “0” and another “4”.

For x = 0, or time value = 8am, the temperature value = y-axis value = -2

For x = 4, or time value = 12pm, the temperature value = y-axis value = 4

Thus we got two points (0,-2) and (4,4).

Now using slope formula = (y2 –y1) / (x2 –x1)

Slope = (4-(-2)) / (4 -0) = 6/4 = 1.5

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1