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12 February, 08:17

Identify the vertex and the y-intercept of the graph of the function y- - (x+3 + 4

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  1. 12 February, 08:33
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    The vertex is at (-3, 4)

    This can be found by looking at the basic form of vertex form:

    y = (x - h) ^2 + k

    In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = - 3 and k = 4. This means the vertex is at (-3, 4).

    The y-intercept is at 13. To find this we must first square the parenthesis and get the equation into standard form.

    y = (x + 3) ^2 + 4

    y = x^2 + 6x + 9 + 4

    y = x^2 + 6x + 13

    Now we know that the y-intercept is equal to the constant, which is the last number in the equation.
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