The graph of the parent function f(x) = x is translated to form g(x) = (x - 7) + 9. The point (0,0) on the graph of

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

I got this same question and I think it is (7,9)

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What steps transform the graph of y=x^2 to y= -(x+3)^2+5

Lady bird [3.3K]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
\\\\
f(x)= A sin\left( B x+ C \right)+ D
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\
\bullet \textit{ flips it upside-down if } A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if } B\textit{ is negative}$

$\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\
~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by } D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{ B}$

now, with that template in mind, let's check this one

$\bf y=x^2\implies y=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+0})^2\stackrel{D}{+0}
\\\\\\
y=-(x+3)^2+5\implies y=\stackrel{A}{-1}(\stackrel{B}{1}x\stackrel{C}{+3})^2\stackrel{D}{+5}$

A = -1, reflection over the x-axis.

B = 1, C = +3, C/B = +3/1 = +3, horizontal shift to the left of 3 units.

D = 5, vertical shift up of 5 units.

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3 years ago

Suppose a jar contains 16 red marbles and 32 blue marbles. if you reach in the jar and pull out 2 marbles at random, find the pr

valentinak56 [21]

1/6

This is because the probability of pulling a red is 1/3. Multiply that by itself to find the chance of repeating.

5 0

2 years ago

write a problem involving addition subtraction multiplication or division of integers and include the answer

jenyasd209 [6]

7+(-3)=4
Because positive and negative remains a negative or u keep the sign of the larger number the answer would be 4. Hope this helps

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2 years ago

To find the x-intercept, we let y = 0 and solve for x and to find y-intercept, we let x=0 and solve for y. Figure out the x-inte

Dima020 [189]

Answer:

<h2> X-intercept: (2, 0) </h2><h2> Y-intercept: (0, 6) </h2>

Step-by-step explanation:

X-intercept means y-coordinate of 0:

6x +2×0 = 12

6x = 12

x = 2 ← x-coordinate

Y-intercept means x-coordinate of 0:

6×0 + 2y = 12

2y = 12

y = 6 ← y-coordinate

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2 years ago

The sloping side of a cone is 10cm and the height is 8cm. find the radius of the base

amid [387]

You can use Pythagoras theorem to find the radius.

r^2 + 8^2 = 10^2

r^2 + 64 = 100

r^2 = 36

r = 6

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3 years ago