Question

Consider the quadratic function f(x) = 2x2 – 8x – 10.

The x-component of the vertex is

The y-component of the vertex is

7

The discriminant is b2 - 4ac = (-8)2 – (4)(2)(-10) =

Answer 1

The discriminant is is 144

Explanation:

Step one

Given the expression

`f(x) = 2x^2- 8x - 10.`

we can solve for the The discriminant using the expression

`b^2 - 4ac`

Step two

from the given expression

the second term b=-8

the first term a= 2 and

the constant term c=-10

Step three

substituting all the terms into the expression
`b^2 - 4ac` we have

`b^2 - 4ac = (-8)^2 - (4)(2)(-10) =64- (-80)= 64+80= 144`