What is the function g(x) created from f(x) = x2 by moving the graph left 4 units, vertically stretching it by a factor of 5, and shifting the graph down 2 units?
Answers
The solution is, the correct option is f(x) = 5 (x+4)² -2 .
What is function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
As given by the question.
There are given that the equation of current graph:
f(x) = x^2
Now,
According to the question,
There are also given that graph left 4 units, that means
(x+4)²
Then,
Vertical stretching it by a factor of 5 units
So,
The equation will be: f(x) = 5 (x+4)²
Then,
And, shifting the graph down 2 units
So,
f(x) = 5 (x+4)² -2
Hence, the correct option is f(x) = 5 (x+4)² -2.
To learn more on function click:
#SPJ6
Answer:
Step-by-step explanation:
A = 5
B = 1
h = 2
k = -2
Use ABhk
Related Questions
Draw two different shapes, each with an area of 6 square units and a perimeter of 12 square units
What is the difference 14/15 - 5/12 written as a decimal?
Can someone help me with this math question?
Find the reciprocal. show that the product of the mixed number and its reciprocal is 1.1, 10 1/2 2, 6 3/7 3, 2 8/9 4, 15 1/4 5, 9 2/3 6, 7 5/8
Answers
A parallelogram has one angle thatmeasures 76°. The measures of the other three angles in the parallelogram are 76°, 104°, and 104°.
What is a parallelogram?
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
A parallelogram has one angle that measures 76°.
We already know that in a parallelogram opposite angles are equal.
1st angle = 76°
Third angle = 76°
And let the other 2nd and 4th angles be x and x
So, The sum of all the angles of quadrilateral
76° + 76° + x + x = 360°
152° + 2x = 360°
2x = 360° - 152°
2x = 208°
Therefore x = 104°
Hence, We have got all angles that are 76°, 76°, 104°, and 104°.
Learn more about angles here:
#SPJ2
Step-by-step explanation:
We know that in a parallelogram opposite angles are equal so
1st angle = 76°
Third angle = 76°
And let the other 2nd and 4th angles be x and x
Now
76° + 76° + x + x = 360° <being sum of angles of quadrilateral >
152° + 2x = 360°
2x = 360° - 152°
2x = 208°
Therefore x = 104°
We have got all angles
76° , 76° , 104° and 104°
Answers
Which is more expensive and by how much?
Answers
Answer:
The peanuts are more expensive by 12 dollars because it is only 2 pounds more
Step-by-step explanation:
Answers
$90.43 if you pay it late.
2x+4y=14
Answers
Equations don't have slopes or y-intercepts, but their graphs might.
Let's solve this equation for 'y', and see whether its graph has them.
2x + 4y = 14
Subtract 2x from each side: 4y = -2x + 14
Divide each side by 4 : y = -1/2x + 7/2 .
In this form, we can look at the equation, and see immediately that
if we were to draw its graph, then the graph would be a straight line
with slope= -1/2 and y-intercept= 7/2 .
Answers
y=5x-4 is the equation of the line 3y = 15x - 12 in slope intercept form.
What is Slope of Line?
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is 3y = 15x - 12
Three times of y equal to fifteen times of x minus twelve.
We need to convert it to slope intercept form y=mx+b to do this we have to isolate the y term and divide the equation coefficient by 3
Divide both sides by 3
y=15/3x-12/3
When fifteen is divided by three the result is five and when twelve is divided by three we get four.
y=5x-4
Hence, y=5x-4 is the equation of the line 3y = 15x - 12 in slope intercept form.
To learn more on slope of line click:
#SPJ2