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kow [346]
3 years ago
17

What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the function

Mathematics
2 answers:
djyliett [7]3 years ago
8 0

Answer:

Shifted 3 units upwards.

Step-by-step explanation:

We have been given a parent function f(x)=x^2 and a translated function f(x)=(x+5)^2+3. We are asked to determine the vertical translation from the parent function to f(x)=(x+5)^2+3.

Let us recall translation rules.

Horizontal translation:

f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}

f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}

Vertical translation:

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}

Upon looking at our given function, we can see that the value of 'a' is positive 5 inside parenthesis, so our graph is shifted to left by 5 units.

We can also see that the value of 'a' outside parenthesis is positive 3, therefore, the graph of parent function is shifted upwards by 3 units to get the graph of function f(x)=(x+5)^2+3.

choli [55]3 years ago
4 0
The +3 is the vertical and the +5 tells you horizontal.  so this graph moves 3 up and 5 left. But since it only wants vertical that would be the +3
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If f(x)=4(3x-5), find f^-1(x)
Margaret [11]

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

3 0
2 years ago
A student estimated a mass of 250grams, according to the scale the mass is actually 240grams. What is the percent error? (round
NeX [460]

Answer:

4.2%

Step-by-step explanation:

percent error = (estimated value - actual value)/(actual value) × 100%

Here, the estimated value is 250 g, and the actual value is 250 g.

percent error = (estimated value - actual value)/(actual value) × 100%

percent error = (250 g - 240 g)/(240 g) × 100%

percent error = 10/240 × 100%

percent error = 0.041666... × 100%

percent error = 4.2%

4 0
3 years ago
Read 2 more answers
Triangle LMN is located at L(2,3), M(1,2), and N(4,4). The triangle is then transformed using the rule (x+5, y+2) to form the im
charle [14.2K]
Using the rule (x+5, y+2) you would add 5 to the x value and 2 to the y value so the answer would be L' (7,5) M' (6,4) N' (9,6)
8 0
3 years ago
The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to
blsea [12.9K]

The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the  line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

  so that, tan 52 = 45/x

  x = 45/tan52

  x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

 tan 26 = 45/y

y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

#SPJ1

4 0
2 years ago
What is angle MNT? Help
disa [49]

Answer: acute

Step-by-step explanation: it is less than 90 degrees so it is less the right angle

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