Question

The graph of (x)² is the solid black graph below. Which function represents the

dotted graph?
y = (x-3)² +3
y = (x+3)² +3
y=(x-3)²-3
y = (x+3)²-3
Submit Answer

Answer 1

4. y = (x+3)²-3

Explanation:

we can start by looking at the y intercept (x = 0) which is 6 on the graph

1. y = (-3)² + 3 = 9 + 3 = 12

2. y = (3)² + 3 = 9 + 3 = 12

3. y = (-3)² - 3 = 6

4. y = (3)² - 3 = 6

in order to decide between 3 and 4 we can see than the graph lies towards the left meaning the that b (from ax² + bx + c) will be positive and after expanding we can tell that the answer is 4rth :-

3. x²+6x+6

4. x²-6x+6

Answer 2

y=(x+3)^2-3. The transformation moves three units down hence the transformation for the y coordinate is -3. Then the x cooordinate is shifted to the left meaning transformation is 3 units