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3 years ago

14

How to find the vertex of a quadratic function?

2 answers:

slamgirl [31]3 years ago

6 0

The formula for a quadratic function is y=ax^2+bx+c.
The vertex is h, k. This can be found by evaluating y to get k, and dividung -b by a in order to get h.

Hope this helps!

scoray [572]3 years ago

3 0

Answer:Parabolas always have a lowest point. This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).

Step-by-step explanation:

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Can someone help me with this math homework please!

Umnica [9.8K]

Answer:

Y=1/5x since 0.20 in fraction form is 20/100 or 1/5.

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2 years ago

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gulaghasi [49]

24x-56y+72

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3 years ago

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

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3 years ago

If Josh has 3 pencils and loses 1. How many does he have left

klio [65]

Answer: 2

Step-by-step explanation:

It is like you a=have 3 pencils and you give 1 to your friend how many will you have?

subtract 1 from 3

3-1=2

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3 years ago

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inysia [295]

Step-by-step explanation:

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2 years ago