Answer:
The Graph Shifts 4 units up
Step-by-step explanation:
Okay so, when you add four to a graph in this manner we have to look at the equation as a whole. f(x)=mx+b + 4. By adding four we are changing the y-intercept and shifting it up four. This will cause the entire graph to shift upwards four spaces.
The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
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Answer:
Step-by-step explanation:
1) False: The function is decreasing (because the base, 1/3, is between 0 and 1).
2) True: The function is decreasing (see #1, above)
3) False: There is no x-intercept.
4) True: If x is 0, then y = (1/3)^0 = 1.
5) False: the range consists of the set of all real numbers greater than zero.
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The standard form of a quadratic equation is:
y = ax² + bx + c
The graph of a quadratic equation is a parabola.
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
Find out more on equation at: brainly.com/question/2972832
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Answer:
Triangle: True
Parallelogram: False, area is 63cm^2
Trapezoid: True
Step-by-step explanation:
Use area calculators on the internet to find the area of shapes.
