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Fofino [41]
2 years ago
10

Aren’t all of these answer chooses correct?

Mathematics
1 answer:
ivanzaharov [21]2 years ago
4 0

Answer:

A beach in the next war with a friend of a friend of a

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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
What is the pattern of 1.1, 2.2, 3.3, 4.4
Tanya [424]
It is adding one little percentage of increase here. or, 1.1 each time....hope that this helps.
5 0
3 years ago
Read 2 more answers
Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ
Vinil7 [7]

Answer:

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8

To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

6 0
3 years ago
Solve this equation 4log√x - log 3x =log x^2​
ruslelena [56]

Answer:

x =  \frac{1}{3}

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒(\frac{1}{3x})

*rewrite to solve for x :

10⁰ = \frac{1}{3x}

1 = \frac{1}{3x}

1 · x = \frac{1}{3x} · x

1x = \frac{1}{3}

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

x = \frac{1}{3}

5 0
3 years ago
Thirteen more than the quotient of twenty and four
oksano4ka [1.4K]

Answer:

19

Step-by-step explanation:

20/4 + 13

20/4 = 6

6+13 = 19

8 0
3 years ago
Read 2 more answers
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