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sashaice [31]
3 years ago
11

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which f

unction could Heather be writing? f(x) = x2 + 36x + 12 f(x) = x2 – 36x – 12 f(x) = –x2 + 12x + 36 f(x) = –x2 – 12x – 36

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

  f(x) = –x^2 – 12x – 36

Step-by-step explanation:

The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...

  f(x) = (x+6)^2 = x^2 +12x +36

Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...

  f(x) = -x^2 -12x -36

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Can u help me. if answer is correct, i will give u brainliest
den301095 [7]

Answer:

135 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

To calculate h use Pythagoras' identity on the right triangle on the left

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = \sqrt{225} = 15 , thus

A = 9 × 15 = 135 units²

7 0
3 years ago
How would you describe the difference between the graphs of f(x) = x^2 +4 and<br> g(y) - y^2 +4?
s2008m [1.1K]

Answer:

Step-by-step explanation:

The function f(x)=x^2+4 is a positive upwards opening parabola with the vertex at (0, 4), whereas

the function g(y)=y^2+4 is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.

3 0
3 years ago
Given g(x)= -2x+2 and f(x)= 3x^2+4, find (g+f)(-3)
aliina [53]

Answer:

39

Step-by-step explanation:

g(x)= -2x+2 and f(x)= 3x^2+4

(g+f)(-3)

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f(-3) = 3 (-3)^2 +4 = 3(9)+4 = 27+4 = 31

(g+f)(-3) = g(-3) + f(-3) = 8+31 = 39

3 0
3 years ago
A quilt is made of 12 squares of equal size. Each square measures 15 cm by 15 cm.
kolezko [41]

Answer:    12    x    15= 180 cuadrados

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15 x 15 cm = 360

Step-by-step explanation:

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Answer:

<h2>C) parallel. </h2>

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