Question

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

Answer 1

Answer:

The correct options are B and C.

Step-by-step 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

Answer:

B, C

Step-by-step 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.