For the equation y=2x2-16x+30 Identify the vertex and convert into vertex form. Create an inverse function.

Vertex: (4, -2)

Vertex form:

Inverse function:

Step-by-step explanation:

The x-coordinate of the vertex can be calculated using the formula:

Where a and b are coefficients of the quadratic equation in the form:

So, using a = 2 and b = -16, we have:

To find the y-coordinate of the vertex, we calculate y using the x-coordinate of the vertex:

So the vertex is (4, -2)

The vertex form is given by:

Where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex. Therefore, we have that:

To create an inverse function, we switch x by y and vice-versa:

Then, using Bhaskara's formula, we have:

It's important to say that this inverse function is not really a function, because one value of x gives two values of y.

overpriced

step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.