Write a function g whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5
1 answer:
A function is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
<h3>What is a function?</h3>A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given function f(x) = |x| - 5 after transaltion of the graph by 2 units left will become g(x) = |x+2| - 5.
The graph of the function is attached with the answer below. In which both functions are graphed.
Therefore, afunction is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
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Answer:
The equation is:
Or, what is equivalent:
Explanation:
This is the<em> table</em> that <em>shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe</em>:
Lemon juice (mL) Sugar (g)
Batch A 500 200
Batch B 750 300
Batch C 1500 600
You need to write an <em>equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g</em>.
Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.
- Batch A: lemon juice / sugar = 500 / 200 = 5/2
- Batch B: lemon juice / sugar = 750/300 = 5/2
- Batch C: lemon juice / sugar = 1500/600 = 5/2
Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:
Or, what is equivalent (solving for j):