Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
18 plus 12 divided by 2 = thats how u get the answer
Answer:
Research shows that many students who leave school without finishing year 12 will: earn less money when they start work. be more likely to have long periods of unemployment. be less likely to return to study later in life.١٢/١٠/٢٠١٨
Step-by-step explanation:
Step-by-step explanation:
Since SP=TR, the differnce of PR and ST 24-15 divided by 2 is the length of PD (4.5)
Try to understand the rest from the attached picture
Answer:
x = -1
Step-by-step explanation:
<u>Step 1: Distribute</u>
-5(x + 2) = -(-5x + 1) - x
-5x - 10 = 5x - 1 - x
<em>-5x - 10 = 4x - 1</em>
<em />
<u>Step 2: Solve for x</u>
-5x - 10 + 5x = 4x - 1 + 5x
-10 + 1 = 9x - 1 + 1
-9 / 9 = 9x / 9
<em>-1 = x</em>
<em />
Answer: x = -1
