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:
See Explanation
Step-by-step explanation:
<em>The question is incomplete as what is required of the question is not stated.</em>
<em>However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.</em>
Represent the distance from Atlanta to Colleyville with AC
Represent the distance from Atlanta to Bayville with AB
Represent the distance from Bayville to Colleyville with BC
So, we have that:


The relationship between AB, AC and BC is:

Make BC the subject of formula:


Convert fraction to decimal


<em>Hence, the distance from Bayville to Colleyville is 14.8 miles</em>
Answer:
The first graph.
Step-by-step explanation:
Algebra Calculator.