What is the vertex of y = - | x | + 4

Step-by-step explanation:

y

=

x

2

−

4

If the equation of a parabola is in the form:

y

=

a

x

2

+

b

x

+

c

we can find the  

x

-coordinate of its vertex using the following formula:

x

v

e

r

t

e

x

=

−

b

2

a

Comparing the problem equation with the form above, we see:

a

=

1

,

b

=

0

,

c

=

−

4

x

v

e

r

t

e

x

=

−

0

2

(

1

)

=

0

Now, we can plug this into the equation to find the  

y

-coordinate:

y

v

e

r

t

e

x

=

(

0

)

2

−

4

=

0

−

4

=

−

4

Therefore,

V

e

r

t

e

x

(

0

,

−

4

)

You can see the graph of this parabola below:

graph{x^2-4 [-10, 10, -5, 5]}

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

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