Answer:
a. 
.
b. The axis of symmetry for 
is 
.
Step-by-step explanation:
a. The vertex form of a quadratic is given by 
, where (h, k) is the vertex.
To convert from 
form to vertex form you use the process of completing the square.
Step 1: Write 
in the form 
. Add and subtract 4:
Step 2: Complete the square 
b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
For a quadratic function in standard form, , the axis of symmetry is 
.
The axis of symmetry for is .
Look at the graph shown below.
What does it mean for .50 cents less per pound if you don't say there's no cost for the pound...?
Answer:
Yes,
Step-by-step explanation:
because two sides are shown equal to each other, a and b. Also two angles are equal to each other, x and y. Once you know two angles or two sides are equal so is the third side.
Another way is SAS (side angle side). There is side a, angle y, and side b. These are shown on both triangles.
Therefore, we can conclude these two triangles are congruent.
Using a scale that has increments that are somewhat large, you could get an error if you reach half of the measuring unit. This is because when you arrive at a measurement greater than half of the measuring unit, you would have to round it up. Therefore, the greatest possible error when measuring to the nearest quarter of an inch is 1/8 inch. The greatest possible error when measuring to the nearest quarter of an inch is how the reader reads the measurement. Sometimes, we base our answers to what we can see and what we see may be different from others.
Answer:
y = 3x -1
Step-by-step explanation:
When x goes up 2 units from 5 to 7, y goes up 6 units, from 14 to 20. That's 3 times as many units as the change in x.
When x goes up 4 units from 7 to 11, you goes up 12 units, from 30 to 32. That's 3 times as many units as the change in x.
So, the slope of the function is constant at 3. If y were 3x exactly, the output numbers would be 15, 21, 33, each of which is 1 higher than the actual output. Hence the output must be one less than 3x, or ...
y = 3x -1
