HELP ASAP 25 POINTS

g(x) = x² + 4x + 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 2, 1 ), thus

y = a(x + 2)² + 1

To find a substitute (0, 5) ← y- intercept into the equation

5 = a (0 + 2)² + 1 ( subtract 1 from both sides )

4 = 4a ( divide both sides by 4 )

a = 1

g(x) = (x + 2)² + 1 ← in vertex form

Expand parenthesis and simplify

g(x) = x² + 4x + 4 + 1, then

g(x) = x² + 4x + 5 ← in standard form

hi there! my name is zalgo and i am here to you out today. the answer is pretty simple (in a way). this equation equals to 25.2!

i hope this answer !

"stay and stay proud! " - zalgo

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.