It's a Quadratic that doesn't have any real roots as the parabola doesn't cross the x-axis.
For graphing:
If you're familiar with the parabola of y=x^2, then you could graph that but just translate it upwards by +4 on the y such that f(x)+4 will be equal to it.
If you aren't, then we know the y-intercept is 4, and that's also the point of the minimum point of the curve. If I were you, I'd write a table of some of the integer values:
x y
-2 8
-1 5
0 4
1 5
2 8
The value of y is the same for x and -x as anything squared is positive.This means that there is a line of symmetry in the y-axis.
This then makes it much easier to graph, simply place these points on the graph and make sure the curve is exponential. This means the gradient (steepness) gets greater the bigger the value of x.
1. 3x+1=4/5(4x)
15x+5=4(4x)
16x=15x+5
x=5
2. 13x3=39
13x2=26
x=27
x=27
The domain and range of the new function compare to the domain and range of the original function is domain and range of the function will be same after the modification.
<h3>What is domain and range of the function?</h3>
The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
Given function:
f(x)= a
As, the value increased by 2.
Now, the value of the given function f(x) is modified such that the value of b remains same but the value of a is increased by 2.
Here, The domain and range of the function will be same after the modification.
Learn more about this concept here:
brainly.com/question/12278642
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Answer:
the green one under the orange one
Step-by-step explanation:
Parallel means never touching, and the 2 bases look like they never touch.
According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
