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denis-greek [22]

3 years ago

8

PLEASE help me graph y=-x-5

1 answer:

Artist 52 [7]3 years ago

5 0

The question already gave you the formula in slope-intercept form (y=mx+b). You just need to graph it. Let’s begin with the easy step. The first point is the y-intercept (b) which is -5. Think of it as a point (0,-5), so you input -5 on the y-axis of the graph. After that is the slope, which usually is a fraction symbolizing rise over run. In this case, since the slope is a -x, is is -1 over one, therefore it’s down 1 right 1.

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Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).

motikmotik

Answer:

y = 3 $(2)^{x}$

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = a $b^{5}$ → (2)

Divide (2) by (1)

$\frac{ab^5}{ab^2}$ = $\frac{96}{12}$ , that is

b³ = 8 ( take the cube root of both sides )

b = $\sqrt[3]{8}$ = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3 $(2)^{x}$ ← is the exponential function

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