Question

Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and then decreases in quadrant 4. It crosses the y-axis at (0, negative 0.5).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and then decreases in quadrant 4. It crosses the y-axis at (0, negative 3) and goes through (2, negative 7).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and then decreases in quadrant 4. It crosses the y-axis at (0, negative 3) and goes through (0.5, negative 7).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and then increases in quadrant 1. It crosses the y-axis at (0, 3).

Answer 1

Answer:

it's a big g

you want mark x y on the like this graph will be

Answer 2

Option -b is correct that is it crosses the y-axis at (0, -3) and goes through (2, -7) is the reflection across the x-axis of f(x) = 3(1.5)ˣ.

Given that,

We have to determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)ˣ.

We know that,

What is reflection rule?

The equation can be used to mirror a point or line segment: To the point (x,y), a point (x,-y) that is mirrored over the x-axis will return. In other words, the coordinate's x value remains constant while its y value switches signatures.

So,

y = 3(1.5)ˣ

The reflection rule over x- axis is

(x,y) is (x,-y)

-y = 3(1.5)ˣ

y = -3(1.5)ˣ

By substituting the values means x= 1 we get y = -4.5 so on.

Therefore, Option -b is correct that is it crosses the y-axis at (0, -3) and goes through (2, -7).

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