The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
<h3>What is transformation of a function?</h3>
Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
- Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
- Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.
On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,
y=logx
A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.
y=logx +5
Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
Learn more about the transformed function here:
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Answer:
=> expression of the difference of 10 and u
=> difference = result of subtraction
=> 10 is the number to be subtracted by u
=> u = is the unknown number to subtract to 10
=> 10 – u
Step-by-step explanation:
Algebraic expression is the expression that contains the combination of number, variables and operators like addition, division, subtraction and multiplication.
Answer: x = -8
Step-by-step explanation:
First you change 1/4 to 2/8. Then you want to get all of your x values on one side. So, +5/8x to each side turning your equation into 7/8x+2= -5. Then -2 from each side. 7/8x= -7. Finally get your variable by itself. Divide each side by 7/8 or multiple each side by its reciprocal (8/7)
First, you divide the price by the amount of units in the pack. This is how you find how much one unit is worth in that pack. So for the first pack you divide 1.12 by three, and then you have .37333 repeating, which is about 38 cents. Next is the second pack, where we divide 4.38 by 12 which is .365, which is about 37 cents. The last pack is 8.68 divided by 24 which is .361, or about 36 cents. This means that the 24 pack is the best buy.
In real life you should also consider which would be too much for you or not enough. For example, you might not even need 24 units of juice. You might only need 12 so you don't have too much extra. But hey, this is just a math problem ;)
Answer: I can't answer this
Step-by-step explanation:
