The graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.
A graph can be defined as a pictorial representation or a diagram that represents data or values.
Reflection across the x-axis is defined as reflecting a point across the x-coordinate and y-coordinate change places, and When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)
To determine the graph of f(x) = 3x is reflected across the x-axis.
So the graph of f(x) = 3x is reflected across the x-axis.
⇒ g(x) = f(-x) = 3x
Hence, the graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.
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Answer:
g(x) = -f(x)
Step-by-step explanation:
When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)
What will the height be at t = 1 second
PLEASE HELP,,STUCK :(
To find when the balloon hits the ground, set the height function equal to zero and solve using the quadratic formula. The balloon will hit the ground after approximately 1.924 seconds. To find the height at t = 1 second, substitute t = 1 into the height function to get a height of 12 feet.
To find when the water balloon hits the ground, we need to set the height function, h(t), equal to zero and solve for t. In this case, the height function is given by h(t) = -16t^2 + 25t + 3.
Setting h(t) equal to zero, we get:
-16t^2 + 25t + 3 = 0
Using the quadratic formula, t = (-b ± sqrt(b^2 - 4ac)) / (2a), where a = -16, b = 25, and c = 3, we can determine the value of t.
After substituting the values into the quadratic formula and solving for t, we find two values: t ≈ 0.051 seconds and t ≈ 1.924 seconds. Since we are looking for when the balloon hits the ground, we can ignore the first solution and conclude that the balloon will hit the ground after approximately 1.924 seconds.
To find the height at t = 1 second, we can substitute t = 1 into the height function. This gives us:
h(1) = -16(1)^2 + 25(1) + 3 = -16 + 25 + 3 = 12 feet.
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