What is this function written in vertex form?
the image shows a geometric representation of the
function f(x) = x2 + 2x + 3 written in standard form
f(x) = (x + 2)2 +3
f(x) = (x2 + 2x)2 + 3
f(x) = (x + 1)2 + 2
f(x) = (x + 3)2 + 2%
+x
+
+
+

Step-by-step explanation:

In order to change a quadratic equation to vertex form, you can follow these steps:

quadratic form:

Transfer 3 to the other side of the equation, so add -3 to both sides of the equation and simplify.

Now if you look at the expression if you add 1 to both sides of the equation you will complete the perfect square trinomial

Write the trinomial factors:

Finally simplify, clear f(x)

Now it has the form

then (h, k) will be = (-1, 2)

answer: slight chance that it will happen

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.