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BaLLatris [955]
3 years ago
12

Pls help with question 4

Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer:

C.)

Step-by-step explanation:

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For the function y=x^2-4x-5, perform the followingtasks:
lbvjy [14]

Answer:

a. x^2-4x-5= \left(x-2\right)^2-9.

b. The axis of symmetry for {\left(x - 2\right)^{2}} - 9 is x=2.

Step-by-step explanation:

a. The vertex form of a quadratic is given by y=a(x-h)^2+k, where (h, k) is the vertex.  

To convert from y=x^2-4x-5 form to vertex form you use the process of completing the square.

Step 1: Write x^2-4x-5 in the form x^2+2ax+a^2. Add and subtract 4:

x^{2} - 4 x - 5=x^{2} - 4 x + {\left(4\right)} - {4} - 5

Step 2: Complete the square x^2+2ax+a^2=\left(x+a\right)^2

{\left(x^{2} - 4 x + 4\right)} - 9={\left(x - 2\right)^{2}} - 9

b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

For a quadratic function in standard form, y=a(x-h)^2+k, the axis of symmetry is x=h.

The axis of symmetry for {\left(x - 2\right)^{2}} - 9 is x=2.

Look at the graph shown below.

5 0
3 years ago
Simplify (3a^4-2a^2+5a-10)-(2a^4+4a^2+5a-2
sammy [17]
<span>3a4-2a2+5a-10)-(2a4+4a2+5a-2) 
remove first set of parentheses:
 
apply "-" sign to second parentheses (distributive prop):
 
the - of a - becomes a + :
 
combine like terms:
 

Factor out the variables that are alike:

{(1)a^4 + (-6)a^2 + 0a + (-8)}}} 
0a is just 0, makea the "a" term go away:
 
can try to factor as squares, but it doesn't work out:
8 = (-4) x (+2) product factors cannot add to make 6. </span>
3 0
3 years ago
Explain the diffrences between +8,-8,{8}.
lesantik [10]
+8 means that it is a positive number
-8 means that it is a negative number
I think what you mean by: {8}, is |8| which is absolute value which means no matter the answer it is the absolute value from 0 so it’s always +
4 0
4 years ago
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Half the distance of AC (6)
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X<67/5     :) do u need the work or nah
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