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)

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