The key features of a quadratic graph that can identified are; x and y intercepts, axis of symmetry and vertex
<h3>Keys features of a quadratic graph</h3>
The key features are the x-intercepts, y-intercepts, axis of symmetry, and the vertex.
If we add units we can move this function upwards, downwards leftwards and rightwards.
- If we add a positive number to the x-variable, then the graph will move to the left.
- If we add a negative number to the x-variable, then the graph will move to the right.
- If we add a positive number to y-variable, then the graph will move upwards.
- If we add a negative number to y-variable, then the graph will move downwards.
Hence, if we compare the rules we use before with linear function, there's no distinction between horizontal and vertical movements, because if we add to x-variable, then y-variable will be also affected.
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That will be the answer sir/ma’am
Answer:
Step-by-step explanation:
sec x( cotx + cos x )= csc x+ 1
1/cos x( cosx/ sinx +cosx) = csc x+ 1
1/cosx ( cosx + sinxcosx/sinx) = csc x+ 1
1/cosx( cosx) ( 1+sinx/sinx) = csc x+ 1
1(1/sinx+1) = csc x+ 1
cscx +1= = csc x+ 1
Answer:
b = 24c
Step-by-step explanation:
To solve this problem you must appy the proccedure shown below:
1. You have the following function given in the problem above:
f(x)=e^2x
2. You can rewrite is:
y=e^2x
3. Interchange the variables, as below:
x=e^2y
3. The inverse of an exponential function is the logarithm function. Thereforem you have:
ln(x)=ln(e^2y)
ln(x)=2y
4.Then, you have:
y=ln(x)/2
Therefore, the answer is:
f^-1(x)=ln(x)/2
