Question

100 POINTS please help Algebra I

Answer 1

Find equation of f(x)

• m=2
• b=-10

Equation in slope intercept form

• y=mx+b
• y=2x-10

So

x units is shifted 8 units right and y intercept is 16units far

So

• g(x)=f(x+8)
• 2(x+8)-10
• 2x+16-10
• 2x+6

Answer 2

Transform f(x) to g(x) by translating f(x) 8 units to the left

Transform f(x) to g(x) by translating f(x) 16 units up

⇒ g(x) = f(x + 8)

⇒ g(x) = f(x) + 16

From inspection of the graph, the slope of f(x) is 2 and the y-intercept is -10. Therefore, the equation of f(x) is:

f(x) = 2x - 10

g(x) = f(x + 8)

= 2(x + 8) - 10

= 2x + 6

g(x) = f(x) + 16

= 2x - 10 + 16

= 2x + 6

Therefore, g(x) = 2x + 6