Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Khan Academy Get Al Tutoring NEW Unit test Google Classroom You might need: Calculator Rewrite the function by completing the square. {:[g(x)=4x^(2)-16 x+7],[g(x)=quad(x+)^(2)+]:} Show Calculator$

Khan Academy $\newline$ Get Al Tutoring $\newline$ NEW $\newline$ Unit test $\newline$ Google Classroom $\newline$ You might need: $\newline$ Calculator $\newline$ Rewrite the function by completing the square. $\newline$ $\begin{array}{l} g(x)=4 x^{2}-16 x+7 \\ g(x)=\quad(x+)^{2}+ \end{array}$ $\newline$ Show Calculator

View step-by-step help

Home

Math Problems

Algebra 2

Find Coordinate on Unit Circle

Full solution

Q. Khan Academy

\newline

Get Al Tutoring

\newline

NEW

\newline

Unit test

\newline

Google Classroom

\newline

You might need:

\newline

Calculator

\newline

Rewrite the function by completing the square.

\newline

\begin{array}{l} g(x)=4 x^{2}-16 x+7 \\ g(x)=\quad(x+)^{2}+ \end{array}

\newline

Show Calculator

Identify Quadratic Part: Identify the quadratic part of the function to complete the square. $\newline$ $g(x) = 4x^2 - 16x + 7$ $\newline$ Focus on the quadratic and linear terms: $4x^2 - 16x$ .
Factor Out Coefficient: Factor out the coefficient of $x^2$ from the first two terms. $\newline$ $g(x) = 4(x^2 - 4x) + 7$ $\newline$ Now, complete the square inside the parentheses.
Complete the Square: Find the term to complete the square. $\newline$ Take half of the coefficient of $x$ , square it, and add inside the parentheses. $\newline$ Half of $-4$ is $-2$ , squaring gives $4$ . $\newline$ Add and subtract this square inside the parentheses: $4(x^2 - 4x + 4 - 4) + 7$ .
Simplify and Adjust: Simplify the expression inside the parentheses and adjust the constant term. $\newline$ $g(x) = 4((x - 2)^2 - 4) + 7$ $\newline$ $= 4(x - 2)^2 - 16 + 7$ $\newline$ $= 4(x - 2)^2 - 9.$