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4 years ago

7

Gabby solved x2 - 3x = 4 as shown below:

1 answer:

Serggg [28]4 years ago

8 0

Caitlyn is correct.
Both factored correctly but the reason Gabby is wrong is because of the Zero Product Property, which says if (x-4)(x+1)=0, then (x-4)=0 or (x+1)=0.

If (x-4)=0, then the value of x must be 4.
If (x+1)=0, then the value of x must be -1.

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The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configur

Over [174]

Answer:

$f(x)=(x-1)^2-7$

Step-by-step explanation:

Standard form:

$f(x)=x^2-2x-6$

Vertex form:

$y=(x-h)^2+k$

(h, k) is the vertex

x is the coordinate of the vertex

To find x use the formula:

$x=\frac{-h}{2a}$

$f(x)=x^2-2x-6$

a=1

b=-2

c=-6

Substitute:

$x=\frac{-(-2)}{2(1)}=1$

Substitute x in equation:

$f(x)=1^2-2(1)-6\\f(x)=1-2-6\\f(x)=-7$

h=1

k=-7

Substitute h, and k into the vertex formula:

$f(x)=(x-1)^2-7$

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maks197457 [2]

3.14159265359
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3 years ago

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4 years ago

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3 years ago

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