Answer:
units to the right
Step-by-step explanation:
If we have a parent function y = Sin(x), the function
- y = Sin(x-b) would be the parent shifted b units right
- y = Sin (x+b) would be the parent shifted b units left
The function given is 
So from the rules, we can clearly say that it is parent function shifted RIGHT by units.
2nd answer choice is correct.
The answer is B because the domain is the x value, and because the lines have arrows they continue forever, meaning that they contain all real numbers.
<h2>
Answer:</h2>
A) every diameter
<em>The center of a circle lies on </em><em>every diameter.</em>
<h2>
Explanation:</h2>
B) The circle: A circle is a two-dimensional shape where all points are the same distance from the center. So this definition doesn't match the definition of the center of the circle. The center is just a point not several ones.
C) A tangent line: obviously this definition is false. A tangent line is a line not a point.
D) Every chord: A chord is any line segment between two points on a circle. The only chord that passes through is the diameter. So this definition does not include all the chords of a circle
A) Every diameter: This is the correct option! A diameter is any chord that <em>passes through the center</em>.
Answer:
y= 2x - 5 equation has a slope of 2 and a y intercept of -5
Step-by-step explanation:
Given:
The slope = 2
Intercept of y = -5
To Find:
The equation of the line = ?
Solution:
The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.
The equation of the line in the slope intercept form is
y = mx+b
where
m is the slope
b is the y intercept
Now substituting the given values we get
y = (2)x + (-5)
y= 2x - 5
Answer:
y = 14
Step-by-step explanation:
y ∝ 
=> y = 
-------------(1)
<em><u>Where k is the constant of proportionality</u></em>
Now,
x = 7, y = 4
<em>Putting in (1)</em>
4 = 
So,
=> k = 28
Now y = ? when x = 2
<em>Putting x and k in (i)</em>
y = 
y = 14
