Which of the following is a quadratic function?

y = 2x^2 - 12x + 9

Step-by-step explanation:

a quadratic function: y = ax^2 + bx + c

So answer is

y = 2x^2 - 12x + 9

This is y = 2x² - 12x + 9 function.

Step-by-step explanation:

Given :  functions.

To find:Which of the following is a quadratic function.

Solution: We have given functions

Quadratic function :

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.

We can see from the given options  y = 2x² - 12x + 9  this is in  the  form of quadratic function .

Where a =2 , b= -12 , c= 9.

Therefore , This is y = 2x² - 12x + 9 function.

45

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form