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Lapatulllka [165]
3 years ago
5

Please help me in this:

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0
What exactly do you need help with?!
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If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0
3 years ago
Click on the words to go to the picture
Goshia [24]
The Answer is B because the volume is 7*5*14, divide that by 5, 1 fifth = 98, this means 98 times 2 is the volume of white.

5 0
3 years ago
Whice set of side will make a triangle
telo118 [61]

First things first.. What type of triangle

If u are taking about a normal triangle here is some:

∠60+∠60+∠60

∠30+∠90+∠60

∠11+∠82+∠87

7 0
3 years ago
In ΔEFG, f = 1.2 inches, ∠E=55° and ∠F=109°. Find the length of e, to the nearest 10th of an inch.
Alekssandra [29.7K]

Answer:

e = 1.04

Step-by-step explanation:

To find e, we apply the sine rule

e/sineE = f/sineF

e/sine55 = 1.2/sine109

e/0.8192 = 1.2/0.9455

0.9455e = 1.2 x 0.8192

e = 0.9830/0.9455

e = 1.0397

to nearest tenth = 1.04inch

3 0
3 years ago
Find the missing number (1+_ ÷7+4)÷8=4/7​
GaryK [48]

The answer to (1+_÷7+4)÷8= 4/7 is -3 I believe

3 0
3 years ago
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