The quadratic equation that has a vertex at (4,-3) and passes through (6,-1) is given by:
y = 0.5(x - 4)² - 3.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (4,-3), hence:
h = 4, k = -3.
The equation is:
y = a(x - 4)² - 3.
When x = 6, y = -1, hence we use it to find the leading coefficient a as follows:
-1 = a(6 - 4)² - 3
4a = 2.
a = 0.5.
Hence the equation is:
y = 0.5(x - 4)² - 3.
More can be learned about quadratic equations at brainly.com/question/24737967
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Answer:
1. 3/4
2. 1/2
3. 7/12
4. 2/3
5. 1/12
6. 1/2
7. 39/8
8. 59/10
Step-by-step explanation:
Please see my work shown below to fill in your boxes.
The greatest common factor is 4.