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Elenna [48]
3 years ago
8

The parabola y=x^2 is shifted up by 4 units , what is the equation of the new parabola

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

y= (x^2)+4

Step-by-step explanation:

If outside of the parentheses, the function can move up or down. So, by adding 4 to the function/parabola, you shift the equation up by 4 units.

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I'm really confused on 6-26. How do you find the equation?
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I know the B is 2 Sorry I don't know the A
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3 years ago
A cyclist rides 8 miles in 32 minutes. What is the speed of the cyclist in miles per hour?
Neko [114]
Well 32 minutes is half of an hour so 8 miles would be half of the full x miles
so 8 x 2 would be 16
16 miles per hour
0 0
3 years ago
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The graph of which function has a y-intercept of 3? Picture A, B, C, or D?
Bad White [126]

Answer:

A

Step-by-step explanation:

A is the only one that intersects with the y axis at the value 3.

hope this helps :)

4 0
3 years ago
Describe the graph that would be used to solve the equation –x2 + 4 = x + 2 using a system of equations. How will you use the gr
gayaneshka [121]

Answer:

The solutions are (-2 , 0) and (1 , 3)

Step-by-step explanation:

∵ -x² + 4 = x + 2

* y = -x² + 4 ⇒ is quadratic represented by parabola

 The parabola open downward because coefficient of x² is negative

 The x-coordinate of its vertex = -b/2a, where b is the

  coefficient of x and a is the coefficient of x²

∴ x = 0/2(-1) = 0

∴ The y-coordinate of the vertex = (0)² + 4 = 4

∴ The maximum point of the parabola is (0 , 4)

∵ -x² + 4 intersects x-axis at y = 0

∴ -x² + 4 = 0 ⇒ -x² = -4 ⇒ x² = 4

∵ x² = 4

∴ x = ±√4 = ± 2

∴ the parabola intersects x-axis at -2 , 2

∵ y = x + 2 represented by a line its slope = 1

  It intersects y-axis at 2

∵ x + 2 intersects x-axis at y = 0

∴ x + 2 = 0

∴ x = -2

∴ The parabola and the line intersect each other at

  x = -2 and y = 0

To find all the point of intersection between the 2 equations we will solve them as a system of equations

∵ y= -x² + 4  and y = x + 2

∴ -x² + 4 = x + 2

∴ -x² + 4 - x - 2 = 0

∴ -x² - x + 2 = 0 ⇒ × -1

∴ x² + x - 2 = 0 ⇒ factorize

∴ (x + 2)(x - 1) = 0

∴ x + 2 = 0 ⇒ x = -2

∴ x - 1 = 0 ⇒ x = 1

* when x = -2 ⇒ y = -2 + 2 = 0 ⇒ (-2 , 0)

* when x = 1 ⇒ y = 1 + 2 = 3 ⇒ (1 , 3)

The solution graphically

3 0
3 years ago
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Riverside elementary school is holding a school-wide election to choose a school color. five eighths of the votes were for blue,
erik [133]
The problem given can be solve using one variable. so let x be the total vote
x = x(5/8) + 5/9(x - x(5/8)) + 48
so solve for x
x - x(5/8) - 5/9(x - x(5/8)) = 48
x - x(5/8) - x(5/9) + x(25/72) = 48
x(1/6) = 48
x = 48*6
x = 288
blue votes = 288(5/8) = 180
red votes = 5/9(288 - 180) = 60
students riverside = 288 + 25 = 313
8 0
3 years ago
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