Look at the right triangle ABC below: B
A
A student made the following chart to prove that AB2 + BC2 = AC2:
Statement
Justification
1. Triangle ABC is similar to triangle BDC
1. Angle ABC = Angle BDC and Angle BCA = Angle DCB
2. BC2 = AC x DC
2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to S
triangle BDC
is 3. Triangle ABC is similar to triangle ADB
3. Angle ABC Angle BAD and Angle BAC = Angle ABD
4. AB2 = AC x AD
4. AB ÷ AD = AC ; AB because triangle ABC is similar to
triangle ABD
5 AB2
BC2 = AC x AD + AC X DC = AC
(AD + DC)
5. Adding Statement 2 and Statement 4
6. AB2 + BC2 = AC2
6. AD + DC = AC
What is the flaw in the student's proof? (1 point)

b

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32