Answer:
Step-by-step explanation:
We'll combine the 
and the 
on the right side.
Now, we'll subtract 
from both sides.
Divide both sides by 
.
Ta-da!
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 6x + 10y = 8 into this form by subtracting 6x from both sides
10y = - 6x + 8 ( divide all terms by 10 )
y = - 
x + 
← in slope- intercept form
with slope m = - → C
The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C
Step-by-step explanation:
Let us revise some transformation
A vertical stretching is the stretching of the graph away from the x-axis
A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.
- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
- f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
A horizontal stretching is the stretching of the graph away from the y-axis
A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.
- If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
- If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.
∵ f(x) = x
∵ g(x) = f(-10x)
- Substitute x by -10x
∴ g(x) = -10x
∵ x is changed to 10x
- x multiplied by a number means shrink or stretch horizontally
∵ k = 10
∵ 10 > 1
∴ The graph of f(x) is shrunk horizontally by a factor of 10
∵ The value of g(x) is negative
- The negative sign of g(x) means reflection across x-axis
∴ The graph of f(x) is reflected about the x-axis
The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "
Learn more:
You can learn more about reflection in brainly.com/question/5017530
#LearnwithBrainly
Answer:
Step-by-step explanation:
50 of 100
= 50%
120 of 1
= 1.2%
Answer:
Step-by-step explanation:
I believe you meant y = 2(x − 4)^2 + 5. Use the symbol ' ^ " to indicate exponentiation. This equation has the vertex form of the equation of a quadratic. The x-coordinate of the vertex is 4 and the y-coordinate is 5. Thus, the vertex is at (4, 5). The multiplier 2 stretches the graph vertically by a factor of 2.
To aid us in graphing this function, find the x- and y-intercepts:
If x = 0, y = 2(-4)^2 + 5, or 37. Therefore the y-intercept is at (0, 37).
If y = 0, then
2(x − 4)^2 + 5 = 0,
2(x − 4)^2 = -5 But a square cannot be negative, so there is no x-intercept in this case.
To graph this function, plot the vertex (4, 5) and the y-intercept (0, 37). Take advantage of symmetry and find another point across x = 4 from (0, 37): It is (8, 37).
