Quadratic Function is a function that takes the equation form of:
where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.
<u>Vertex</u><u> </u><u>Form</u>
<u>Intercept</u><u> </u><u>Form</u>
The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.
If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.
So our only quadratic functions are:
As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.
Answer
- The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
- -x²-4 is in standard form.
- (x-1)²-7 is in vertex form.
Hope this helps and let me know if you have any doubts.
<em>Als</em><em>o</em><em> </em><em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>me </em><em>t</em><em>o</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>into</em><em> </em><em>other</em><em> </em><em>form</em><em>.</em><em> </em><em>For</em><em> </em><em>ex</em><em>.</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>vertex</em><em> </em><em>form</em><em> </em><em>to</em><em> </em><em>standard</em><em> </em><em>form</em><em>.</em><em> </em>
Happy Learning and Good Luck with your assignment!
Answer:
First, we need to calculate for x. Since,
MP = PN
Thus,
3x-4 = x+4
2x = 8
x = 4
Next, we calculate for MS
MS = 2x + 2 = 10
Since, MS = 2SQ
10 = 2SQ
Then,
SQ = 5 units
Therefore, the correct answer is B.
Answer:
9x^2-49
Step-by-step explanation:
FOIL
Answer:
The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.
Step-by-step explanation:
The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.