Question

Determine whether the formula describes y as a function of x. Explain your reasoning.

y = -3x2 - 7x - 6

Answer 1

this is a parabola with a maximum value

the graph will pass the vertical line test

so it is a function

Answer 2

Explanation:

`y=-3x^2-7x-6`

Given equation is a quadratic .

For each value of x we will get the value of y (output)

The graph of quadratic is a U shaped parabola.

For each x value there will be output y. the value of x is not repeated.

The graph of quadratic reach minimum at one point and then it goes up.

When we draw vertical line in the graph of U shaped parabola, the line crosses the graph at only one point.

So the y is a function of x

The given formula describes y as a function of x