Find the slope of each line
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Multiplication and division with the powers of ten
So, when multiply powers of ten, all you have to do add up the powers.
The reverse goes when you are dividing. You would subtract the powers.
9 x 10^7 => 3 x 10^3
The words " how many times as large as " indicates that we are going to divide the two, making it look like this:
Divide the 9 by 3 you get 3
Then subtract 10^3 from 10^7
Therefore, the answer is 3 x 10^4, or A
Considering the definition of vertex, the vertex form of y = –3x² – 12x – 2 is y=a(x+2)²+10 , where (-2,10) is the vertex of the parabola.
<h3>Vertex form</h3>The function f(x) = ax² + bx + c
with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The quadratic function can be expressed by the vertex form of a quadratic equation: y=a(x−h)²+k , where (h,k)= vertex of the parabola.
The formula to find the value x of the vertex of a quadratic equation is
To calculate the value of y of the vertex, it is necessary to find the numerical value of "x vertex" in the polynomial expression. This is:
(h,k)= (,
)
In this case:
- a= -3
- b= -12
- c= -2
Replacing in the formula to find the value x of the vertex of a quadratic equation, you get:
Solving:
<u><em>x= -2</em></u>
The value of y of the vertex can be calculated as:
y = –3×(-2)² – 12×(-2) – 2
Solving:
y= –3×4 – 12×(-2) – 2
y= –12 +24 – 2
<u><em>y=10</em></u>
Finally, the vertex form of y = –3x² – 12x – 2 is y=a(x+2)²+10 , where (-2,10) is the vertex of the parabola.
Learn more about vertex form of a cuadratic function:
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