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2 years ago

OKOK I NEED HELP ON THESE THEY ARE MY LAST ONES

Mathematics

2 answers:

Agata [3.3K]2 years ago

5 0

Number one is A ) 4 units to the left

Ulleksa [173]2 years ago

4 0

Number 1 is A

it’s 4 units to the left

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Pls someone help, ill give ya brainliest :D

iris [78.8K]

Answer:

Part A) The x-intercepts are the points (-2.5,0) and (0.5,0)

Part B) The vertex is a minimum and the coordinates are (-1,-9)

Part C) see the explanation

Step-by-step explanation:

we have

$f(x)=4x^{2}+8x-5$

Part A: What are the x-intercepts of the graph of f(x)?

we know that

The x-intercepts are the values of x when the value of the function f(x) is equal to zero

For f(x)=0

$4x^{2}+8x-5=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^{2}+8x-5=0$

$a=4\\b=8\\c=-5$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(4)(-5)}} {2(4)}$

$x=\frac{-8(+/-)\sqrt{144}} {8}$

$x=\frac{-8(+/-)12} {8}$

$x_1=\frac{-8(+)12} {8}=0.5$

$x_2=\frac{-8(-)12} {8}=-2.5$

therefore

The x-intercepts are the points (-2.5,0) and (0.5,0)

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex?

we know that

The quadratic equation represent a vertical parabola open upward (because the leading coefficient is positive)

therefore

The vertex represent a minimum

$f(x)=4x^{2}+8x-5$

Convert to vertex form

Factor 4

$f(x)=4(x^{2}+2x)-5$

Complete the square

$f(x)=4(x^{2}+2x+1)-5-4$

$f(x)=4(x^{2}+2x+1)-9$

Rewrite as perfect squares

$f(x)=4(x+1)^{2}-9$ ----> equation in vertex form

The vertex is the point (-1,-9)

Part C: What are the steps you would use to graph f(x)?

To graph f(x)

I need

1) The direction of the graph (Is a vertical parabola open upward)

2) The coordinates of the vertex (-1,-9) ( in this case is a minimum)

3) The x-intercepts (-2.5,0) and (0.5,0)

4) The y-intercept

The y-intercept is the value of f(x) when the value of x is equal to zero

For x=0

$f(0)=4(0)^{2}+8(0)-5\\f(0)=-5$

The y-intercept is the point (0,-5)

Plot the points and draw the parabola

see the attached figure to better understand the problem

8 0

4 years ago

Which graph represents the function h(x) = |x| + 0.5?

olga55 [171]

Answer:
On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).
Step-by-step explanation:
h(x) = |x| + 0.5
Has its vertex at h(x) = 0, h(x) = |x| + 0.5
0 = |x| + 0.5
|x| = -0.5
So x = -0.5
So, the vertex is at (-0.5, 0)

7 0

3 years ago

-4y + 4 = -2(6x - 2)

Katena32 [7]

Answer:

y= -5

Step-by-step explanation:

5 0

4 years ago

What are the correct classifications for the polygon

Dmitry [639]

It’s convex hexagon

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3 years ago

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I WILL MARK BRAINIEST IF ANSWERED RIGHT AND ASAP AND YOU WILL GET MEGA POINTS WHICH IS 99 POINTS!

Mariulka [41]

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</span>

4 0

3 years ago

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