1 answer:
Answer:
<u>Given</u>
- Equation 5x - y = 12
and
- Inequality 5x - y > 12
<em>See the graphs attached</em>
To draw the graphs follow the rules we described in the previous questions.
- 1. Identify x-intercept and y-intercept and connect them to have the line.
- 2. Shade the region above or below the line for the inequality.
We see the only difference the expressions have is the equation or inequality symbols.
- Equation symbol means the graph of the equation is a line.
- Inequality symbol means the graph of this is a region above the same line, in our case the line is not a part of the covered region because it is "<".
We can state that the inequality excludes the line and includes only the region above the same line.
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Answer:
<em>Vertex: (3,4)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic equation</u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The parabola is given as:
Comparing with the equation:
a=2, Vertex: (3,4)
The graph of the parabola is shown in the image below
