Question

In the function Y - 3 = 2(x - 1)^2 what effect does the number 1 have on

the graph, as compared to the graph of y=x^2?

A. It shifts the graph 1 unit to the left.

B. It shifts the graph up 1 unit.
C. It shifts the graph 1 unit to the right.

D. It shifts the graph down 1 unit.

Answer 1

C. It shifts the graph 1 unit to the right.

Explanation:

Answer 2

C

Explanation:

Let a function be "f(x)", we can understand vertical and horizontal shifts by seeing the properties below:

• f(x-a) is original shifted a units horizontally right
• f(x+a) is original shifted a units horizontally left
• f(x) + b is original shifted b units vertically upwards
• f(x) - b is original shifted b units vertically downwards

The "1" in the problem is within "x", which means f(x) became f(x-1).

This goes with first rule, which is horizontal shift right of 1 units.

That is the correct answer is C