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3 years ago

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.

Mathematics

1 answer:

Nitella [24]3 years ago

7 0

Answer:

See attached picture

Step-by-step explanation:

The function $f(x) = -x^2-4x+2$ has the following characteristics:

• Not factorable

• Zeros/roots: $x= -2 +/- \sqrt {6}$

• Negative leading coefficient

• Has a vertex at (-2,6)

• Its graph is a parabola and upside down U shape.

• It has a maximum value of 6.

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When a decimal is written in word form, what indicates that the equivalent form is a mixed number and not a fraction?

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3 years ago

which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
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3 years ago

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fredd [130]

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2. (3,-9)

3. (7,-2)

4.(-3,9)

Step-by-step explanation:

Since the reflection is across the x-axis, the y-coordinate will be flipped.

Example: (-7,4) would become (-7,-4)

HOWEVER, if the reflection is across the y-axis, the x coordinate will be flipped.

Example: (-7,4) would become (7,4)

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