QuestionFind the vertex of the function $f(x) - 4 = (x + 1)^{2}$ . Choose from: a. $(-4,1)$ b. $(1,-4)$ c. $(-1,-4)$ d. $(-1,4)$ .

Studdy Solution

STEP 1

Assumptions1. The function is given by $f(x)-4=(x+1)^{}$ . The function is in form of a standard quadratic equation $y=a(x-h)^+k$ , where $(h,k)$ is the vertex of the parabola.

STEP 2

Rewrite the given function in the form of a standard quadratic equation.
$f(x) = (x+1)^{2} +4$

STEP 3

Identify the values of $h$ and $k$ in the rewritten function. In the standard form of a quadratic function, $h$ is the value that is subtracted from $x$ inside the square, and $k$ is the constant term.
$h = -1, k =$

STEP 4

The vertex of the function is given by the point $(h,k)$ .
$Vertex = (-1,4)$ So, the vertex of the function $f(x)-4=(x+1)^{2}$ is $(-1,4)$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms