Question

The graph is showing which of the following functions?

(0,2)
(-2,0)

(1 point)
Responses

y = 2x
y = 2x

y = x−2
y = x−2

y = x+2
y = x+2

y = −2x
y = −2x

Answer 1

To determine which function corresponds to the given points (0, 2) and (-2, 0), we can evaluate each of the provided functions.

1. **y = 2x**
- For x = 0: y = 2(0) = 0 (not matching (0, 2))
- For x = -2: y = 2(-2) = -4 (not matching (-2, 0))

2. **y = x − 2**
- For x = 0: y = 0 - 2 = -2 (not matching (0, 2))
- For x = -2: y = -2 - 2 = -4 (not matching (-2, 0))

3. **y = x + 2**
- For x = 0: y = 0 + 2 = 2 (matching (0, 2))
- For x = -2: y = -2 + 2 = 0 (matching (-2, 0))

4. **y = -2x**
- For x = 0: y = -2(0) = 0 (not matching (0, 2))
- For x = -2: y = -2(-2) = 4 (not matching (-2, 0))

Based on the evaluations above, the function that matches both points is:

**y = x + 2**.