Answer:
<h3>Q1</h3>
The graph of y = f(x), has vertex at (1, -2)
<u>The vertex of a function f(x - 3) is going to be:</u>
<h3>Q2</h3>
- <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>
The axis of symmetry is at the same distance from the symmetric points.
x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2
The point is (2, -7)
<h3>Q3</h3>
The graph in blue is the translation of the red to the left by 2 units.
<u>So the equation is:</u>
<h3>Q4</h3>
y = h(x) is graphed
- h(7) = 5
- h(h(7)) = h(5) = -1
<h3>Q5</h3>
The graph of the function y = u(x) given
This is a odd function.
The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)
<u>Therefore:</u>
- u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
- [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
- 0 + 0 = 0
Answer:
x = 130 degrees
Step-by-step explanation:
Here, we want to find the value of x
mathematically, the sum of opposite interior angles equal the opposite exterior angles
In the triangle, we have only one interior angle
Now, as we can see, the angle that measures 150 is on a straight line with one of the angles in the triangle
Mathematically, the sum of angles on a straight line is 180
So we have it that the given angle in the triangle would be (180-150)
If we add this to the 100, we have the exterior angle which is x
Thus, we have it that;
x = 100 + (180-150)
x = 100 + 30
x = 130 degrees
Step-by-step explanation:
Sum of angles in a triangle = 180°.
=> s° + (s/7 + 3)° + (s/7 - 3)° = 180°
=> 9/7 * s° = 180°
=> s° = 180° * (7/9) = 140°
Hence the value of s is 140.
First you find the zeros/x-intercepts using the factors already given in the inequality.
Therefore we make our solution using the interval notation.
B because one input value is connected to two output values
