Rewrite the quadratic function f(x)=x^2-3x+2 into standard form. Identify its vertex and all its intercepts.

Given

Find

Rewrite it into standard form and identify vertex and all its intercepts.

Explanation

standard form =

where (h , k) be the vertex

so ,

so vertex be

for intercept put f(x) = 0

so , x - intercept = (1 , 0) and (2 , 0)

for y- intercept put x =0

y - intercept (0 , 2)

Final Answer

Therefore , vertex is (3/2,-1/4)

x - intercept = (1 , 0) and (2 , 0) and y - intercept (0 , 2)

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

answer: 20

step-by-step explanation: