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2 years ago

Question 4(Multiple Choice Worth 2 points)

1 answer:

5 0

The transformation needed to form g(x) = 3(x + 2)^2-1 is a vertical translation of the function down by 1 unit, horizontal shift to the right by 2 units and a vertical stretch by 3 units

<h3>Transformation of functions</h3>

Transformation is the technique used to change the position of a figure on an xy-plane.

Given the parent function f(x) = x², the transformation needed to form g(x) = 3(x + 2)^2-1 is a vertical translation of the function down by 1 unit, horizontal shift to the right by 2 units and a vertical stretch by 3 units

Learn more on transformation here: brainly.com/question/4289712

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The length of concrete patio is 6.5 feet which is less than given 7 foot picnic table. So the concrete slab is not enough to fit a 7 foot picnic table

<em><u>Solution:</u></em>

Given that concrete patio is $5\frac{2}{3}$ feet wide

Area of concrete patio = $36\frac{2}{3}$ square feet

Therefore,

$\texttt{Width of concrete patio = }5\frac{2}{3}=\frac{5\times 3+2}{3}=\frac{17}{3}feet\\\\\text{Area of concrete patio = }36\frac{2}{3}=\frac{36\times 3+2}{3}=\frac{110}{3}feet^2$

Let us find the length of concrete patio

Concrete patio is usually of shape rectangle

Area of concrete patio = length x width

$\frac{110}{3} = length \times \frac{17}{3}\\\\length = \frac{110}{3} \times \frac{3}{17}\\\\length = \frac{110}{17} = 6.4705 \approx 6.5$

Therefore length of concrete patio is 6.5 feet

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