The ordered pair (-3 ,
) is on g(x) ⇒ 1st answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)
∵ 
∵ f(x) is reflected across the y-axis to create the function g(x)
- Change the sign of x
∴ 
To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it
∵ The coordinates of the point are (-3 ,
)
∴ x = -3 and y = 
- Substitute x by -3 in g(x)
∵ 
∴ 
∴ 
∵ 
∴ 
∴ 
- Divide up and down by 2
∴ 
∵ The value of g(x) equal to the y-coordinate of the point
∴ The point (-3 ,
) lies on g(x)
The ordered pair (-3 ,
) is on g(x)
Learn more:
You can learn more about the reflection in brainly.com/question/5017530
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Answer:
y=2x+19
Step-by-step explanation:
Slope: 0-19/-9.5-0=-19/-9.5=2
y-intercept: 19
Answer: 11.4
Step-by-step explanation:
I did part / whole = % / 100
So x / 76 = 15 / 100
76 x 15 = 1140
1140 ÷ 100 = 11.4
Hey there! :D
When you have a value, it is usually positive.
For example, if I have 5 chocolate bars, then I have +5 chocolate bars.
When you take away a value, it is usually negative.
For example, I have 3 chocolate bars away, then I would have 3 fewer chocolate bars. (-3)
Integers are negative or positive whole numbers.
12 songs= 12 <== the integer
Delete 5 old songs= -5 <=== the integer
I hope this helps!
~kaikers
Answer:
f(x-3)= x^2 -11x +24
Step-by-step explanation:
We want to find an equivalent expression for f(x-3)
To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'
Therefore f(x-3)= (x-3)^2 -5*(x-3)
Lets re arrange the expression by grouping terms.
f(x-3)=x^2 - 6x +9 -5x + 15
f(x-3)= x^2 -11x +24