Write in lowest terms: 9/(15x)
1 answer:
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Answer:
1. <em>Axis of symmetry</em>: x = 3
2. <em>Vertex:</em> (3,5)
3. <em>Solution of the equation</em>:
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- x-intercepts:
- y-intercept: (0, -4)
Explanation:
<u>1. Equation:</u>
<u>2. </u><em><u>Axis of symmetry:</u></em>
That is the equation of a parabola, whose standard form is:
Where:
The axis of symmetry is the vertical line with equation:
Substitute
Thus, the axis of symmetry is:
<em><u>3. Vertex</u></em>
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The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.
To find the y-xoordinate, substitute this value of x into the equation for y:
Therefore, the vertex is (3, 5)
<u>4. Find the x-intercepts</u>
The x-intercepts are the roots of the equation, which are the points wher y = 0.
Use the quadratic equation:
<u>5. Find the y-intercept</u>
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The y-intercet is the value of y when x=0:
Hello!
The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.
First, let's find the y-intercept. This is where the line hits the y-axis. Therefore, it hits at 4 on the y-axis, so our y-intercept is 4.
To find the slope, let's find 2 points on our line. Let's use (0,4) and (2,5). We divide the difference in the y-values by the difference in the x-values as shown below.
Therefore, our slope is 2.
Now we plug these values into our equation.
y=2x+4
I hope this helps!