Questions: The graph of y=√x is shown below: Find a formula for each of the following transformations. a) y= b) y=

The graph of y=√x is shown below: Find a formula for each of the following transformations. a) y= b) y=
Transcript text: The graph of $y=\sqrt{x}$ is shown below: Find a formula for each of the following transformations. a) \[ y= \] b) \[ y= \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the original function

The original function given is \( y = \sqrt{x} \).

Step 2: Analyze the transformation in part (a)

In part (a), the graph is reflected over the y-axis. This transformation changes \( x \) to \( -x \).

Step 3: Write the transformed function for part (a)

The transformed function for part (a) is \( y = \sqrt{-x} \).

Step 4: Analyze the transformation in part (b)

In part (b), the graph is reflected over the x-axis. This transformation changes \( y \) to \( -y \).

Step 5: Write the transformed function for part (b)

The transformed function for part (b) is \( y = -\sqrt{x} \).

Final Answer

  • Part (a): \( y = \sqrt{-x} \)
  • Part (b): \( y = -\sqrt{x} \)
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Convert the following measurements: - 5.6 km to meters. - 0.75 mm to micrometers (μm). - 100 g to kilograms. - 3 × 10^7 ns to seconds. - 2 miles to kilometers. - 2 days to seconds.
failedAnswered
Identify the highlighted bone.
failedAnswered
Question 5 A single card is drawn from a deck, what is the probability of drawing a 5 and a red? P(5 and red)=17 / 26 P(5 and red)=1 / 26 P(5 and red)=15 / 26 P(5 and red)=7 / 13
failedAnswered
Pregunta 4 Determine el conjunto solución para x ∈ R tal que x^2+x-12 ≥ 0 (A) ]-∞,-4[∪] 3,+∞[ (B) [-4,3] (C) ]-4,3[ (D) ]-∞,-4] ∪[3,+∞[
failedAnswered
Which of the following is/are signified by lim x → a f(x)=∞ ? This means that f(a)=∞ The limit exists and equals infinity. As x approaches a, the value of f(x) increases without bound. The value of x goes out to infinity, when it gets close to a. The value of f(x) becomes infinite when x approaches a.