The graph of f(x) shown below has the same shape as the graph of g(x) x^2 but it is shifted to the left 1 unit what is the equation

f(x) = (x+1)^2

Step-by-step explanation:

Function transformations move a graph by shifting it up or down or left or right as well as vertically or horizontally stretching it. They take the parent function and manipulate the equation to create a new graph. The parent graph here is x^2 and its shifts 1 unit to the left. Horizontal shifts occur within the operation such as (x+/-a)^2. Here it would be (x+1)^2 since it moved 1 unit to the left. Left is addition and subtraction is right.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

i think it might be a but you might want a second opinion