What is the vertex form of the equation y equals 3x squared + 6x - 4​

y = 3(x + 1)² - 7

Step-by-step explanation:

y = 3x² + 6x - 4

First, factor out the coefficient of the quadratic eq'n:

y = 3(x² + 2x - ⁴/₃)

Use the "complete the square" rule;

The "x² + 2x" should be rewritten as "(x + 1)² - 1", i.e. place into squared brackets x (without the power 2) and add half the coefficient of the x-term, you then need to subtract the square of the constant term in the squared brackets and then simplify:

y = 3((x + 1)² - 1 - ⁴/₃)

y = 3((x + 1)² - ⁷/₃)

Finally, multiply the 2 terms you end up with by the 3, factored out initially:

y = 3(x + 1)² - 7

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.