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

Answer:

C

Step-by-step 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