Question
y=−2
(x−
)2+
fill in the blanks
(x−
)2+
fill in the blanks
Answers
GPT-4o mini
The equation you provided resembles the vertex form of a quadratic function, which is typically written as:
\[ y = a(x - h)^2 + k \]
where \((h, k)\) represents the vertex of the parabola.
Given your equation \( y = -2 (x - \_\_)^2 + \_\_ \), it suggests you want to specify the values of \(h\) and \(k\).
To fill in the blanks, you would provide values for \(h\) and \(k\):
1. The value of \(h\) determines the horizontal shift of the parabola.
2. The value of \(k\) represents the vertical shift.
For example, if you want the vertex to be at the point \((3, 1)\), you would write:
- For the first blank (the x-coordinate of the vertex): \(3\)
- For the second blank (the y-coordinate of the vertex): \(1\)
The complete equation would then be:
\[ y = -2(x - 3)^2 + 1 \]
You can substitute any values for \(h\) and \(k\) to form different parabolas. Let me know if you have specific values you'd like to use!
\[ y = a(x - h)^2 + k \]
where \((h, k)\) represents the vertex of the parabola.
Given your equation \( y = -2 (x - \_\_)^2 + \_\_ \), it suggests you want to specify the values of \(h\) and \(k\).
To fill in the blanks, you would provide values for \(h\) and \(k\):
1. The value of \(h\) determines the horizontal shift of the parabola.
2. The value of \(k\) represents the vertical shift.
For example, if you want the vertex to be at the point \((3, 1)\), you would write:
- For the first blank (the x-coordinate of the vertex): \(3\)
- For the second blank (the y-coordinate of the vertex): \(1\)
The complete equation would then be:
\[ y = -2(x - 3)^2 + 1 \]
You can substitute any values for \(h\) and \(k\) to form different parabolas. Let me know if you have specific values you'd like to use!