Our parent function is f(x)=x^2. A vertical stretch by a factor of k means that every point (x,f(x)), has been transformed into (x,kf(x)). Alex is clearly incorrect as our parent function has been transformed to (x,9f(x)), not (x,3f(x)). A horizontal stretch(or compression) by a factor of k means our function has been transformed to (x/k,f(x)). Here, Marta is saying our function should look like (3x,f(x)). This can also be achieved by plugging 3x into the parent function, which would give us f(3x)=(3x)^2, so it seems that Marta is the correct one.
Answer:
x = 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20x+5−0=5x+(32.5)(2)
20x+5+0=5x+65
(20x)+(5+0)=5x+65(Combine Like Terms)
20x+5=5x+65
20x+5=5x+65
Step 2: Subtract 5x from both sides.
20x+5−5x=5x+65−5x
15x+5=65
Step 3: Subtract 5 from both sides.
15x+5−5=65−5
15x=60
Step 4: Divide both sides by 15.
15x
15
=
60
15
x=4
Hope this helps!
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Answer:
B
Step-by-step explanation:
The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.
Let's take a look at each end.
As x approaches negative infinity:
As x approaches the left towards negative infinity, we can see that the graph is shooting straight upwards.
Therefore, as 
, our function f(x) is increasing and increasing up towards positive infinity.
Therefore, the end behavior at the left will be:
As x approaches (positive) infinity:
As x approaches the right towards positive infinity, we can see the that graph is also shooting straight upwards.
Therefore, the end behavior will be exactly the same. As x approaches positive infinity, f(x) <em>also</em> approaches positive infinity.
Therefore, the end behavior at the right will be:
Therefore, our answer is B.
Answer:
(-4, 0)
Step-by-step explanation:
(-4, 0)
Step 1: -4(3x-1) becomes -12x+4
step 2: -12x+4=12-8x
step 3: add 12x to both sides, 4=12+4x
step 4: subtract twelve from both sides -8=4x
step 5: divide by 4, x=-2
