Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6? left 1 unit, up 5 units right 1 unit, up 5 units left 2 units, up 2 units right 2 units, up 2 units

Step-by-step explanation:

In order to answer this question first we have to convert g(x) into vertex form.

Now from this form we can visualize the transformations made to f(x) to get the graph of g(x).

Addition of 2 in x means that graph of f(x) = x2 is shifted 1 unit to left to get (x + 1)² .

Addition of 5 in the function value indicates that the graph is shifted 5 units up.

So the changes which have been made to f(x) in order to get g(x) are:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.