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Q: Which value represents the x-coordinate of the vertex in the equation y xsquared 6x - 2?

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x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.

The equation is linear and so has no vertex.

3

-1

The given equation is y = x - 4x + 2 which can be written as y = -3x + 2 This is an equation of a straight line. Therefore it has no vertex and so cannot be written in vertex form.

Related questions

7

x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.

The vertex form for a quadratic equation is y=a(x-h)^2+k.

3

0,0

We will be able to identify the answer if we have the equation. We can only check on the coordinates from the given vertex.

The equation is linear and so has no vertex.

3

The vertex.

-1

Assume the expression is: y = x² - 10x + 30 Complete the squares to get: y = x² - 10x + 25 + 30 - 25 = (x - 5)² + 5 So the expression is in vertex form y = (x - h)² + k

The given equation is y = x - 4x + 2 which can be written as y = -3x + 2 This is an equation of a straight line. Therefore it has no vertex and so cannot be written in vertex form.