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wariber [46]
2 years ago
7

What type of transformations have occurred in the function shown below?

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
5 0

Using shifting concepts, it is found that the correct option is:

  • Vertical stretch, horizontal shift left, vertical shift up.

The original function is:

y = \sqrt{x}

  • The original function was multiplied by 2, hence there was a <em>vertical stretch</em> by a factor of 2.
  • x \rightarrow x + 1, hence, there was an horizontal shift left.
  • 2 was added to the function, hence, there was a <em>vertical shift up.</em>

To learn more about shifting concepts, you can take a look at brainly.com/question/24465194

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Identify the x-intercepts of the function below f(x)=x^2+12x+24
damaskus [11]

<u>ANSWER:  </u>

x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

<u>SOLUTION:</u>

Given, f(x)=x^{2}+12 x+24 -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for (1) a = 1, b= 12 and c = 24

X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}

\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}

Hence the x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

8 0
3 years ago
F(x)=-x^2-5 find the range
lina2011 [118]

x =  \frac{ - b}{2a}  \\  =   \frac{0}{2(1)}  = 0 \\ f(0) = (0)^{2}  - 5 \\  = 0 - 5 =  - 5
The vertex is at (0,-5), therefore the range goes from (-infinity, - 5]
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Evaluate the expression right the answer in simplest form 2/5+2 1/6÷5/6
aleksley [76]
24/95 or decimal form is 0.2526
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the Marked price of a mobile is rupees 3500 and the shopkeeper allows 10% discount how much should the customer pay for it after
Papessa [141]

Answer:

3500 - 10% = 3150 rupees

Step-by-step explanation:

the customer will pay 3150 rupees

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3 years ago
The common difference of the arithmetic sequence
oksian1 [2.3K]

Answer:

its 1/3

Step-by-step explanation:

please mark it as brainliest!!<3

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