Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale draw
ing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
QUESTION. :
1. Use the actual dimensions of the painting to find the percentage of the painting that will be beige. Explain your reasoning and show all calculations.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
QUESTION. :
1. Use the actual dimensions of the painting to find the percentage of the painting that will be beige. Explain your reasoning and show all calculations.
2 answers:
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ANSWER
The vertex is (1,-3)
EXPLANATION
The given parabola has equation:
We group the variables to obtain:
We complete the square to get,
The vertex is of the parabola is (1,-3)