Write g(x) = 40x + 4x2 in vertex form. Write the function in standard form.
Factor a out of the first two terms.
Form a perfect square trinomial.
Write the trinomial as a binomial squared.

g(x) = 4x2 + 40x

g(x) = 4(x2 + 10x)

(ten-halves) squared = 25

g(x) = 4(x2 + 10x + 25) – 4(25)

g(x) =
(x +
)2 –

Circle a has center of (2,3) and a radius of 5 and circle b has a center of (1,4) and a radius of 10. what steps will show that circle a is similar to circle b 1) dilate circle a by a scale factor of 2 2) translate circle a using the rule (x+1,y-1) 3) rotate circle a 180 degrees about the center 4) reflect circle a over the y-axis