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svp [43]
2 years ago
7

Describe the transformation from the parent function: f(x) = -1/4(x - 3)^2 + 2

Mathematics
1 answer:
m_a_m_a [10]2 years ago
3 0
Vertical reflection over the x-axis, shrink of 1/3, right 3, up 2
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Find the value of f(-7)
Reika [66]

Answer:

-7

Step-by-step explanation:

Look at picture body :\

5 0
3 years ago
Sally has just finished her thirty-fifth year with her company and is getting ready to retire. During her thirty-five years, Sal
olya-2409 [2.1K]

The <em>correct answer</em> is:

$19,153.26.

Explanation:

She will receive 42% of her average annual salary. This salary was $45,603.

To find 42% of a number, we first convert the percent to a decimal: 42% = 42/100 = 0.42.

Next we multiply this by the number we're taking the percent of:

0.42(45603) = 19153.26.

7 0
3 years ago
Read 2 more answers
A paper cup is tossed 50 times. It lands right side up 11 times, upside down 14 times, and on its side 25 times. What percent of
Lynna [10]

Answer

28 percent

Step-by-step explanation:

divide 14/50

3 0
3 years ago
What is the y-intercept, axis of symmetry and vertex of the following function.
Pepsi [2]

Complete the square:

F(x) = -3x² - 6x - 5

F(x) = -3 (x² + 2x) - 5

F(x) = -3 (x² + 2x + 1 - 1) - 5

F(x) = -3 ((x + 1)² - 1) - 5

F(x) = -3 (x + 1)² + 3 - 5

F(x) = -3 (x + 1)² - 2

The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :

F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

(x + 1)² ≥ 0   ⇒   -3 (x + 1)² ≤ 0   ⇒   -3 (x + 1)² - 2 ≤ -2

This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

4 0
2 years ago
Read 2 more answers
A semicircle has a diameter of 17.6 cm.
Ray Of Light [21]

Answer:

B. 45.23 cm

Step-by-step explanation:

perimeter of the figure

=\frac{1}{2}\pi d+d

=\frac{1}{2}\times 3.14\times 17.6 +17.6

=\frac{1}{2}\times 55.264 +17.6

=27.632 +17.6

=45.232

=45.23\: cm

7 0
3 years ago
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