- 1 2/3 + (-2 1/6)

Write a rule for the function whose graph can be obtained from the given parent function by performing the given transformations

kati45 [8]

ANSWER

$g(x) = {(x + 5)}^{3} + 4$

EXPLANATION

Given the parent function:

$f(x) = {x}^{3}$

If we shift the graph of f(x), 5 units to the left, then the new rule is

$x \to \: {(x + 5)}^{3}$

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

$x \to \: {(x + 5)}^{3} + 4$

Or

$g(x) = {(x + 5)}^{3} + 4$

7 0

2 years ago

Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5) Please show all steps thank you

Greeley [361]

Answer:

$(f\circ g)(-5)=85$

Step-by-step explanation:

We are given:

$\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x$

And we want to find:

$(f\circ g)(-5)$

This is equivalent to:

$\displaystyle =f(g(-5))$

So, we will evaluate g(-5) first, which yields:

$\displaystyle g(-5)=(-5)^2+(-5)=25-5=20$

So:

$=f(g(-5))=f(20)$

Then:

$\displaystyle f(20)=4(20)+5=80+5=85$

Therefore:

$(f\circ g)(-5)=85$

6 0

2 years ago

Easy points. see image below

tatuchka [14]

Answer:

6

Given expression:

$\sf -(-(-3)) + 2 + |-7|$

Simplify following inside parenthesis

$\sf -3 + 2 + |-7|$

If following is |-a| then |-a| = a

$\sf -3 + 2 + 7$

Evaluate following

$\sf 6$

4 0

1 year ago

A stadium has 49,000 seats. Seats sell for $25 in Section A, $20 in Section B,

Stells [14]

Answer:

A B C

Step-by-step explanation:

Let A,B and C be the number of seats in section A,B and respectively. The situation can be represented by the following system. 1. A+B+C=49,000 2. 25A+20B+50C=1,052,000 and 3. A=B+C

5 0

3 years ago

Point A of rectangle ABCD is located at coordinates (3,7). If rectangle ABCD is translated down 7 and left 5, what are the new c

uranmaximum [27]

Answer:

The new co-ordinates are A¹ ( -2 , 0)

Step-by-step explanation:

Step(i):-

Point A of rectangle ABCD is located at coordinates (3,7).

Type of transformation change of co-ordinate point

Vertical translation up 'd' units (x, y)→ (x, y +d)

Vertical translation down 'd' units (x, y)→ (x, y -d)

Horizontal translation left 'C' units (x, y)→ (x - c , y)

Horizontal translation right 'C' units (x, y)→ (x + c , y)

Step(ii):-

Given rectangle ABCD is translated down 7 and left 5

Given Point A(3 ,7)

Vertical translation down '7' units t

The new co-ordinate A¹ ( 3 , 7-7)→ A¹( 3, 0) and Horizontal translation left ''5' units

Now the new co-ordinates are A¹ ( 3-5 , 7-7)

Final answer:-

The new co-ordinates are A¹ ( -2 , 0)

7 0

2 years ago