The function which represents a reflection of f(x) is
g(x) = Three-eighths 
⇒ last answer
Step-by-step explanation:
Let us revise the reflection across the axes
- 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)
∵ Three-eighths = 
∴ 
∵ f(x) is reflected across the y-axis
- That means the sign of x coordinates of the points on the graph will
change to opposite
∴ x will change to -x
∴ 
The function which represents a reflection of f(x) is
g(x) = Three-eighths
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Starting amount: 982 pounds of grain
Since Mr. Parker fed 240 pounds of grain to his pigs, subtract 240 pounds from 982 pounds of grain.
982 - 240 = 742
After feeding pigs: 742 pounds of grain
Mr. Parker fed another 460 pounds of grain to his cows from his 742 pounds, so subtract 460 pounds from 742 pounds.
742 - 460 = 282
After feeding pigs and cows: 282 pounds of grain
Mr. Parker has 282 pounds of grain left.
Identify the "a, b, c" values, find the axis of symmetry (AOS), and plug in the x-coordinate to find the y-coordinate.
a, b, c: y = ax² + bx + c → a = 2, b = -4, c = 1
AOS: x = 
= 
= 
= 1
y-coordinate: y = 2x² - 4x + 1 = 2(1)² - 4(1) + 1 = 2 - 4 + 1 = -1
Answer: (1, -1)
Let the side length of the original square be x, then
1/4 x^2 = (x - 3)^2
x^2 = 4(x^2 - 6x + 9) = 4x^2 - 24x + 36
3x^2 - 24x + 36 = 0
3(x^2 - 8x + 12) = 0
x^2 - 8x + 12 = 0
x^2 - 2x - 6x + 12 = 0
x(x - 2) - 6(x - 2) = 0
(x - 6)(x - 2) = 0
x - 6 = 0 or x - 2 = 0
x = 6 or x = 2
but x cannot be 2 since the side length of the smaller square will be negative.
Therefore, the side length of the original square is 6 inches.
You need to find 30% of 90
You can do this by finding 10%
10% of 90 = 0.1 x 90 = 9
Then you can times this value by 3 to find 30%
9 x 3 = 27
27 cars are two-toned
