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3 years ago

Determine the coordinates of the y-intercept of the function shown in the graph.

Mathematics

2 answers:

Igoryamba3 years ago

8 0

Answer: The correct option is (A) (0, -1).

Step-by-step explanation: We are given to find the co-ordinates of the y-intercept of the function shown in the graph.

From the graph, we see that the line passes through the points (-6, -4) and (-2, -2).

So, the slope of the line is

$m=\dfrac{-2-(-4)}{-2-(-6)}=\dfrac{2}{4}=\dfrac{1}{2}.$

Since the line passes through the point (-2, -2), so the equation of the line is given by

$y-(-2)=m(x-(-2))\\\\\\\Rightarrow y+2=\dfrac{1}{2}(x+2)\\\\\Rightarrow 2y+4=x+2\\\\\Rightarrow x-2y=2~~~~~~~~~~~~~~~~~~~(i)$

At x = 0, we get from (i) that

$0-2y=2\\\\\Rightarrow y=-\dfrac{2}{2}\\\\\Rightarrow y=-1.$

Thus, the y-intercept of the given line is (0, -1).

Option (A) is CORRECT.

svetoff [14.1K]3 years ago

7 0

Answer:

A. (0,-1)

Step-by-step explanation:

The equation for this problem is y=1/2x-1

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Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

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$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

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The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$