Question

Which transformation when performed together would carry graph a onto graph b choose all that apply

Answer 1

The correct options are B and C.

Explanation:

Graph A represents the parent quadratic function.

`f(x)=x^2`

The vertex from of a parabola is

`y=a(x-h)^2+k`

where, (h,k) is vertex and a is a constant.

If |a|>1, then parent function is stretched by factor a and If 0<|a|<1, then parent function is compressed by factor a.

The vertex of graph B is at (1,0). So the function of graph B is

`g(x)=a(x-1)^2+0`

`g(x)=a(x-1)^2`

Graph B passes through (3,0), so

`3=a(0-1)^2`

`3=a`

The value of a is 3. So, the function of graph B is

`g(x)=3(x-1)^2`

If means the graph A stretched vertically by factor 3 and translate 1 unit to the right.

Therefore the correct options are B and C.

Answer 2

B, C

Explanation:

The first option A is incorrect because of the pattern of odds, if A were correct, the graph would pass through (2,2) rather than (2,3).

Option B is correct because there is a translation of one unit to the right.

Option C is correct because of the pattern of odds.

Option D is incorrect because there is no reflection over the y-axis.