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Lemur [1.5K]
3 years ago
15

Choose the function that shows the correct transformation of the quadratic function shifted eight units to the left and one unit

down.
ƒ(x) = (x - 8)2 - 1
ƒ(x) = (x - 8)2 + 1
ƒ(x) = (x + 8)2 - 1
ƒ(x) = (x + 8)2 + 1

Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

ƒ(x) = (x - 8)² - 1

Step-by-step explanation:

Start with the basic function: f(x) = x².

To shift the parabola <em>eight units to the left</em>, you must <em>add eight units</em> to the value of x. The equation for the parabola becomes

ƒ(x) = (x - 8)².

To shift the parabola down one unit, you <em>subtract one unit</em> from the function. The equation becomes

ƒ(x) = (x -8)² - 1.

The figure below shows the graphs of ƒ(x) = x² (red), ƒ(x) = (x - 8)² (blue), and ƒ(x) = (x - 8)² - 1 (green).

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nasty-shy [4]

Answer:

It is 23

Step-by-step explanation:

BC= FE

(x-4)=19

Therefore x= 23

6 0
3 years ago
What is how do I find m and b?
IrinaK [193]

Answer:

<h2>m = 21, b = 5 → y = 21x + 5</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

=====================================

From the table we have y-intercept (0, 5) → <em>b = 5 </em>and other point (1, 26).

Calculate the slope:

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8 0
3 years ago
A cannon ball is launched at 6 feet per second from the top of a platform 12 feet above the ground.
AleksAgata [21]
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y = 6t - 1/2(9.8)t^2 + 12
y = 6t - 4.9t^2 + 12

b.) The y-intercept is 12

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7 0
3 years ago
Four students simplify the expression below: 6 + 4 x 10 ÷ 2 Anshu's solution is 25 , David's solution is 46 , Jimmy's solution i
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Answer:

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Step-by-step explanation:

PEMDAS

Parentheses Exponents Multiplication Division Addition Subtraction

6 + 4 * 10 / 2 = 6 + 40 / 2

6 + 40 / 2 = 6 + 20

6 + 20 = 26

26

7 0
3 years ago
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lord [1]

Answer:

initial cost per issue=$2

after subscription cost per issue=$1.6.

Step-by-step explanation:

Initially , Mei subscribed $24 for 12 issues for a magazine .When Mei used a coupen then 3 free bonus issues added to her subcsription .Therefore we can see the coupon reduces the cost per issue of Mei's subscription. Before use of coupon the cost of each issue is $2 and after added 3 more issue of coupon then the cost per issue is $1.6

7 0
4 years ago
Read 2 more answers
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