The function h(x) is a transformation of the square root parent function,
f(x)=√x. The function is h(x) A: √x+5.
<h3>What is Transformations?</h3>
Transformations come in the form;
y =√(x-h) +k,
where h is responsible for left-right movements, and k is responsible for up-down movements.
From the graph, we can see that f(x) is simply the parent square root function, √x.
To translate a function right by p units and up by q units, the function becomes
g(x) = f(x -p) +q
(p, q) = (5, 0)
To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.
h(x) = f(x + 5) +0
h(x) = √(x+ 5)
Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.
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The number (x) that is (=) 10 less than (-) 6
x = 6 - 10 Subtract
x = -4
Answer:
5 yd
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = base² + altitude²
= 3² + 4²
= 9 + 16
= 25
Hypotenuse = √25 = √5*5 = 5 yd
The possible values of b are 7 and 8
<h3>How to determine the possible values of x?</h3>
The expression is given as:
4x² + bx + 3
Next, we test the options to determine the values of b
<u>Option 1: b = 13</u>
So, we have:
4x² + 13x + 3 ---- this cannot be factorized
<u>Option 2: b = 7</u>
So, we have:
4x² + 7x + 3
Expand
4x² + 4x + 3x + 3
Factorize
4x(x +1) + 3(x + 1)
Factor out x + 1
(4x + 3)(x + 1) ------ this can be factorized
<u>Option 3: b = 8</u>
So, we have:
4x² + 8x + 3
Expand
4x² + 6x + 2x + 3
Factorize
2x(2x +3) + 1(2x + 3)
Factor out 2x + 3
(2x + 3)(2x + 1) ------ this can be factorized
<u>Option 4: b = 1</u>
So, we have:
4x² + x + 3 ---- this cannot be factorized
Hence, the possible values of b are 7 and 8
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