How do you find the vertex and the intercepts for #y = 1/4x^2 + 1/ 2x - 3/4#?
2 Answers
Vertex is at
and y intercept is at
Explanation:
vertex
in the equation
we get, vertex
in the equation we can get y intercept as
putting
or
graph{1/4x^2+1/2x-3/4 [-10, 10, -5, 5]}
Alternative approach
Vertex
Explanation:
Given:
Compare to the form of
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You have three methods:
- Using the completed square form equation you can read it directly off but with a small amount of adjustment.
Complete breakdown on this can be found on https://socratic.org/s/aHr8G5h4
2.factorising or use the formula to determine the
- You can do it this way:
Note that this process is part of that for completing the square.
Write as:
Buy substitution
Vertex
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Using other method