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45 votes
45 votes
Please help me find this box guys I’m struggling

Please help me find this box guys I’m struggling-example-1
User Divneet
by
3.2k points

2 Answers

8 votes
8 votes

Answer:

see explanation

Explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

The equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = -
(b)/(2a)

y = x² + 4x - 9 ← is in standard form

with a = 1, b = 4 , then

x = -
(4)/(2) = - 2

x = - 2 is the equation of the axis of symmetry

Substitute x = - 2 into the equation for corresponding y- coordinate of vertex

y = (- 2)² + 4(- 2) - 9 = 4 - 8 - 9 = - 13

vertex = (- 2, - 13 )

To find the y- intercept let x = 0 and solve for y

y = 0² + 4(0) - 9 = 0 + 0 - 9 = - 9

y- intercept = (0, - 9)

From the standard form of the parabola

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = 1 , that is > 0

vertex (- 2, - 13 ) is a minimum

User Kowey
by
2.9k points
21 votes
21 votes

Answer:

(0,-9)

Explanation:

To find the y-intercept, substitute x=0

y=(0)^2+4(0)-9

=-9

Here's a tip to help you find the y-intercept faster, it is usually the constant of the graph equation

User Ernisto
by
3.1k points