Ok so standard form is a bit tricky, but I’ll help explain
Here’s and example:
If you have 2x+5y=10 here is how you would solve it
First you divide the x value by what the number is equal to (in our example, 10), and then we get 10/2 is 5. So now we know that
x is equal to five
Keep that in mind. Now we just have to do the same thing for the y value. 5/10 is 2, so you know that
y is equal to two
NOW you put those two together, and graph on the intercepts (the positions on the y and x axis where the lines intercept)
You would put a line on the x axis at 5, and on the y axis at 2
If you have any questions, you can ask
Answer:
x=3
Step-by-step explanation:
6x - 2 = x + 13
subtract 1x from both sides
5x - 2 = 13
isolate the 5x by adding 2 to both sides
5x = 15
finnaly devide both by 5
x = 3
do you mean 2x squared? If so, x = 5, -5
Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6
Therefore...
Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
The transformation of a function may involve any change. The correct option is D.
<h3>How does the transformation of a function happen?</h3>
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
- Left shift by c units, y=f(x+c) (same output, but c units earlier)
- Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
- Up by d units: y = f(x) + d
- Down by d units: y = f(x) - d
Stretching:
- Vertical stretch by a factor k: y = k \times f(x)
- Horizontal stretch by a factor k: y = f(\dfrac{x}{k})
Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.
Learn more about Transforming functions:
brainly.com/question/17006186
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