9 is greater than or equal to -16

Which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?

avanturin [10]

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Step-by-step explanation:

We need to identify which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?

Rules for transformation:

Horizontal shift: depends on the value h

if g(x)=f(x+h) then: the graph is shifted left h units

if g(x)=f(x-h) then: the graph is shifted right h units

Vertical Shift: depends on the value k

if g(x)=f(x)+k then: the graph is shifted up k units

if g(x)=f(x)-k then: the graph is shifted down k units

Reflection:

if g(x)=-f(x) then graph is reflected at x-axis

if g(x)=f(-x) then graph is reflected at y-axis

Vertical Stretch:

if g(x)=c.f(x) then graph is vertically stretched.

In the given question:

f(x)= x^2

g(x)=-3(x+1)^2-4

Applying the above rules of transformation:

The graph is:

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Keywords: Transformations

Learn more about Transformations at:

#learnwithBrainly

7 0

4 years ago

4 over 7 times 35 can i get the answer of that please

krek1111 [17]

Answer:

20

Step-by-step explanation:

4/7 is the same as 4 divided by 7. When you do that you get a really long decimal, I made sure I was right by using a calculator and multiplying that by 35 to get 20.

Hope that helps and have a great day!

7 0

3 years ago

Read 2 more answers

Factor completely 7x2-45x-28

MatroZZZ [7]

9514 1404 393

Answer:

(x -7)(7x +4)

Step-by-step explanation:

The term -45x can be rewritten using factors of (7)(-28) that have a total of -45. Those factors would be ...

(7)(-28) = (4)(-49)

7x^2 +4x -49x -28 = x(7x +4) -7(7x +4) = (x -7)(7x +4)

6 0

3 years ago

In a cookie jar containing 6

Lyrx [107]

12/24 so probability will be 50% chance

6 0

3 years ago

2x + 3y + x + 7 identidy the terms, like terms, coefficients, and constants in each expression

charle [14.2K]

Answer:

terms, 2x, 3y , x and 7,

like terms, 2x, 3y, x and 7

Coefficient. 2 is the coefficient of 2x and 3 is the coefficient of 2y 1 is the coefficient of x

Constant. 7

Step-by-step explanation:

Given:

$2x+3y+x+7$

Terms are the number of parts in the expression.

there are four terms 2x, 3y , x and 7,

Like terms are the part of the polynomials. 2x, 3y and x are like terms because they both have an x attached. 7 is like terms because they have nothing attached.

The number that are attached to variable is called Coefficient.

So In the term 2x the number 2 is a coefficient because it is attached to x similarly 3y the number 3 is a coefficient because it is attached to y

and in the term x the number 1 is a coefficient.

Constant are the numbers that are not attached to any variable and it is not change. Such as 7 is the constant term.

7 0

3 years ago

9 is greater than or equal to -16​

9 is greater than or equal to -16