!!PLEASE HELP I WILL MARK U BRAINIEST AND 5 STARS!!! ITS FOR A TEST I NEED HELP
1 answer:
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Answer:
- vertical scale ×2; translate (-1, -5); (-1, -5), (0, -3), (-2, -3)
- vertical scale ×1/2; translate (3, 1); (3, 1), (1, 3), (5, 3)
- reflect over x; vertical scale ×2; translate (-3, -4); (-3, -4), (-2, -6), (1, -8)
Step-by-step explanation:
Transformation of parent function f(x) into g(x) = c·f(x-h)+k is a vertical scaling by a factor of c, and translation by (h, k) units to the right and up. If c is negative, then a reflection over the x-axis is also part of the transformation. Once you identify the parent function (here: x² or √x), it is a relatively simple matter to read the values of c, h, k from the equation and list the transformations those values represent.
For most functions, points differing from the vertex by 1 or 2 units are usually easily found. Of course, the vertex is one of the points on the function.
<h3>1.</h3>(c, h, k) = (2, -1, -5)
- vertical scaling by a factor of 2
- translation 1 left and down 5
Points: (-1, -5), (-2, -3), (0, -3)
__
<h3>2.</h3>(c, h, k) = (1/2, 3, 1)
- vertical scaling by a factor of 1/2
- translation 3 right and 1 up
Points: (3, 1), (1, 3), (5, 3)
__
<h3>3.</h3>(c, h, k) = (-2, -3, -4)
- reflection over the x-axis
- vertical scaling by a factor of 2
- translation 3 left and 4 down
Points: (-3, -4), (-2, -6), (1, -8)
_____
<em>Additional comment</em>
For finding points on the parabolas, we use our knowledge of squares and roots:
1² = 1, 2² = 4
√1 = 1, √4 = 2
Answer:
Step-by-step explanation:
If someone wants to practice for at least 22 minutes a day, they want to practice 22 minutes or more. This is the same as greater than or equal to, and we want the minutes practices to be greater than or equal to 22. We can assume minutes practiced is x, and create the inequality .
Hope this helped!