How does the graph of the function g(x)=7^x+5 differ from the graph of f(x)=7^x?

Mathematics

1 answer:

N76 [4]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Given g(x) = $7^{x}$ + 5

Then this is the graph of f(x) shifted vertically up by 5 units

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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

klasskru [66]

Step 1: 3x + 4y = 15
Step 2: Get in Slope intercept form = y=mx+b
Step 3: Subtract 3x from both sides since your trying to get Y alone
Step 4: 4y = -3x + 15
Step 5: Divide 4 from both sides since 4 cannot go into -3 or 15 leave it as is
Step 6: Y = $- \frac {3}{4}$ + $\frac{15}{4}$
Step 7: Point slope form= y-y=m(x-x)
Step 8: (8, -2) are your points 8x and -2y
Step 9: Substitute
Step 10: y - 2 = $-\frac{3}{4}$ (x - 8)
Step 11: Distribute
Step 12: y - 2 = $-\frac{3}{4} x$ + -6
Step 13: Add 2 to both sides
Answer : y = $- \frac{3}{4} x$ + 4