Translation of the graph:
y = ( x + 3 )² - 2 to y = ( x - 2 )² + 2
The equations are in the form: y = a ( x - h )² + k
- 2 → 2 ( up 4 )
- 3 → 2 ( 5 to the right )
Answer:
The translation is
A ) up 4 and 5 to the right
Answer:
too hard and Different mean difficult
Let's compare the given function with the model for a quadratic equation:
Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.
The minimum value can be found calculating the y-coordinate of the vertex:
Therefore the minimum value is -24.
The functions and their matching properties are:
- y = (1/4)ˣ: y-intercept at (0,1); graph approaches 0 as x increases
- y = 2(1/2)ˣ: y-intercept at (0,2); graph approaches 0 as x increases
- y = 3ˣ: y-intercept at (0,1); graph approaches positive infinity as x increases
<h3>How to match the functions with their properties?</h3>
The functions are exponential functions;
Exponential functions are represented using:
y = abˣ
Where a represents the y-intercept.
Also, when b is less than 1, the graph would approach 0 as the x value increases, otherwise it approaches positive infinity.
This means that the graphs of y = (1/4)ˣ and y = 2(1/2)ˣ would approach 0 as the x value increases
Read more about functions at:
brainly.com/question/27846142
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