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3 years ago

Where are the black dots located at!?!?

Mathematics

2 answers:

muminat3 years ago

7 0

Answer:

Lower one: (-3, 3)

Higher one: (-4, 6)

Step-by-step explanation:

Go along the "X-axis" the go up or down along the "Y-axis" to get to the black dots.

Montano1993 [528]3 years ago

4 0

Answer: (-3,3) (-4,6)

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2 years ago

Write the equation of the function whose graph is shown. y = (x + )2 +

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Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
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$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

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$39a+3b=9$
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$39a-30a=9$
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$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

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Hence the equation of the quadratic curve is
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3 years ago

Read 2 more answers

4 times a number increased by 7 . Explain your answer if you can

Romashka-Z-Leto [24]

Step-by-step explanation:

4 times = 4x increased by 7 = 4x+7

$4x + 7$