# How do you find the vertex and the intercepts for #y = 1/4x^2 + 1/ 2x - 3/4#?

##### 2 Answers

**Vertex is at** **x intercepts are 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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Using other method