We have the parabola with equation y = 4x².
We have to determine the shape and direction of it.
If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.
As the value of a is positive, the parabola will open upward.
The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.
This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.
Answer:
Because a is positive the parabola opens upward.
Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.
I'm not doing your math homework, this is to help you learn and pass your test :) I will however show you a trick. ask your self this... "What can i factor out of 4x that i can also factor out of 8, which this would be 4. Now what you do if you divide everything by 4
4x/4 = x
8/4 = 2
so 4(x+2) is 4x+8 fully factored, NOW to check, use the distributive property, Multiply 4 back into x+2
4*x = 4x
4*2 = 8
so 4(x+2) = 4x+8
90 is a tenth of 900. You need ten 90's to make 900.
The cotangent function is defined as the length of the side adjacent over the length of the side opposite.
Step-by-step explanation:
The sine of an angle is defined as the length of the side opposite over the length of the hypotenuse.
The cosine of an angle is defined as the length of the side adjacent over the length of the hypotenuse.
The tangent of an angle is defined as the length of the side opposite over the length of the side adjacent.
The cotangent function is defined as the length of the side adjacent over the length of the side opposite.
The secant of an angle is defined as the length of the hypotenuse over the length of the side adjacent.
The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.
Percentage is out of a 100. Therefore, 35/100
Simplify 35/100
Becomes 7/20
Fraction of 35% is 7/20
