Mathematics, 24.08.2020 03:01 owenbarrows

The quadratic function g(x) has a vertex at (-5, 0) and y-intercept of (0, -5). What is g(1)?

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Answer from: Jilly8874

A quadratic function has a degree of 2, and it is represented as: y = ax^2 + bx + c . The value of g(1) is -7.2

Given that:

(h,k) = (-5,0) --- the vertex

(x,y) = (0,-5) --- the y-intercept

The quadratic function in vertex form is:

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

Where:

(h,k) = (-5,0) --- the vertex

So, we have:

y = a(x - -5)^2 + 0

y = a(x +5)^2

Substitute (x,y) = (0,-5) to calculate the value of a

-5 = a(0 +5)^2

-5 = a(5)^2

$-5 = a \times 25$

Divide both sides by 25

$a = -\frac 15$

So, the quadratic equation is:

y = a(x +5)^2

$y = -\frac 15(x +5)^2$

Rewrite as a function

$g(x) = -\frac 15(x +5)^2\\$

To calculate g(1), we simply substitute 1 for x

$g(1) = -\frac 15(1 +5)^2$

$g(1) = -\frac 15(6)^2$

$g(1) = -\frac 15 \times 36$

g(1) = -7.2

Hence:

The value of g(1) is -7.2

Read more about quadratic functions at:

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Answer from: jlewis711777

g(1)=7 1/5

Step-by-step explanation:

vertex (-5,0) , y intercept(0,5)

the quadratic equation is in the form of a parabola: y=ax²+bx+c

y=a(x-h)²+k find a and b and c

5=a(0-(-5))²+0

5=a(5)²+0

5=25a ⇒ a=5/25 ⇒ a=1/5

-b/2a=h

-b=2ah ⇒=-b=2(1/5)(-5) ⇒ -b=-2⇒ b=2

y=c=5 ( when x=0, y intercept)

y=1/5x² + 2x + 5

g(1)=1/5(1)²+2(1)+5

g(1)=1/5+2+5

g(1)=7 1/5

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

Ask google i believe they can you with that question