Answer:
y = 5( x -2) ² - 25
Step-by-step explanation:
5(x² - 4x)
y + ?= 5(x² - 4x + ?) - 5
to complete the square
x² - 4 x + 4 =( x - 2 )² add to the expression
Since 5x4 was added to the right-hand side also add 5x4 to the left side
y + 5x4 = 5(x² - 4x + 4) - 5
Multiple the numbers
y +20 = 5(x² - 4x + 4) - 5
Move the constant to the right -hand side and change it's sign
y = 5( x - 2)² - 5 - 20
Calculate the difference
y = 5(x - 2)² - 25
Solution;
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
y = 5( x -2) ² - 25
Step-by-step explanation:
Factor out the 5 from the expression
5(x² - 4x)
To complete the square,the same value needs to be added to both side
y + ?= 5(x² - 4x + ?) - 5
to complete the square
x² - 4 x + 4 =( x - 2 )² add to the expression
Since 5x4 was added to the right-hand side also add 5x4 to the left side
y + 5x4 = 5(x² - 4x + 4) - 5
Multiple the numbers
y +20 = 5(x² - 4x + 4) - 5
Move the constant to the right -hand side and change it's sign
y = 5( x - 2)² - 5 - 20
Calculate the difference
y = 5(x - 2)² - 25
Solution;
y = 5(x - 2)² - 25