C. This is because the lines of the graphs can be seen using these. The inequality symbols in this case do not help you make the decision.
Using translation concepts, it is found that the transformations are as follows:
- In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.
- In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In y = -f(x÷2)-5, we have that:
- f(x) is multiplied by -1, hence it was reflected over the x-axis.
- x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.
- 5 is subtracted from f(x), hence the function was shifted 5 units down.
In y = f(-x) + 5, we have that:
- x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.
- 5 is added to f(x), hence the function was shifted 5 units up.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
the second set of points are the direct variation. they are multiplied by -1
Answer:
The vertex is at (-3/2, 33/4)
x=-3/2
Step-by-step explanation:
y= -x^2 -3x+6
Factor out a negative from the first two terms
y = -(x^2 +3x) +6
Complete the square
Take 3 /2 and square it (3/2)^2 = 9/4
The - on the outside of the parentheses means we really are subtracting it so we need to add it on the outside
y = -(x^2 + 3x + 9/4) +9/4 +6
= -(x+3/2)^2 + 9/4 +6
Get a common denominator of 4
= -(x+3/2)^2 + 9/4 +6*4/4
y =- (x+3/2)^2 + 9/4 +24/4
y = -(x+3/2)^2 + 33/4
y = a(x-h)^2 +k where (h,k) is the vertex
y = -(x - -3/2)^2 + 33/4
The vertex is at (-3/2, 33/4)
The axis of symmetry is at the x coordinate of the vertex
x=-3/2
Answer:
there are 15 boys in kelvin's class
Step-by-step explanation:
