Match each quadratic function given in factored form with its equivalent standard form listed on the left. f(x) = (x 2)(x – 6) f(x) = (x – 4)(x 3) f(x) = (x – 12)(x 1) f(x) = (x – 3)(x 4)

Answers

standard form of the given equation are

-f(*) = (x + 2)(x – 6) = x² – 4x – 12

f(x) = (x – 4)(x + 3) = x² – x – 12

f(x) = (x – 12)(x + 1) = x² – 11x – 12

f(x) = (x -3)(x + 4) = x² + x – 12

What is quadratic function?

A polynomialfunction with one or more variables in which the second-degree term is the highest degree is known as a quadraticfunction, quadratic polynomial, polynomial of degree 2, or simply a quadratic, in algebra.

What is standard form of a quadratic function?

As long as an is not equal to zero, the quadratic function f(x) = a(x – h)2 + k is considered to be in standardform. The graph starts out in either an upward or a downward direction depending on the value of a. The point at the vertex of the symmetry is represented by the vertical line x = h. (h,k).

According to the given information:

The standard form list.

1 . (x + 2)(x – 6)

= x² – 6x + 2x – 12

= x² – 4x -12

2. (x – 4)(x + 3)

= x² + 3x – 4x – 12

= x² – x – 12

3. (x – 12)(x + 1)

= x² + 1x – 12x – 12

= x² – 11x – 12

4. (x -3)(x + 4)

= x² + 4x – 3x – 12

= x² + x – 12

So the equivalent standardform of the give values are :

standard formof the given equation arex² – 4x – 12x² – x – 12x² – 11x – 12x² + x – 12## What is quadratic function?

polynomialfunctionwith one or morevariablesin which the second-degree term is the highest degree is known as aquadraticfunction, quadratic polynomial, polynomial of degree 2, or simply a quadratic, inalgebra.## What is standard form of a quadratic function?

standardform. The graph starts out in either an upward or a downward direction depending on the value of a. The point at the vertex of thesymmetryisrepresentedby the vertical line x = h. (h,k).## According to the given information:

The standard form list.standardformof the give values are :quadraticfunctionvisit:#SPJ4