8. The y-intercept is -10. You can find this by just seeing where the line would hit the y-axis. This is basically the starting point so the Scuba Diver's decent started at -10m.
9. You have the y-intercept so put that in slope-intercept form. y=mx+b
y=mx - 10
Now find the slope by picking two points and using the slope formula. I'll use
(30,-6) and (50,-4), and then plug in the values. 30 = x1, -6 = x2, 50 = x2, -4 = -4. Simplify.
m= y2-y1 -4 - (-6) 2 1
-------- = ----------- = --- / 2 = ---
x2-x1 50 - 30 20 10
Answer:
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Step-by-step explanation:
Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
