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Ymorist [56]
1 year ago
7

Let f(x)=x^2+5x−36. Enter the x-intercepts of the quadratic function in the boxes.___and__

Mathematics
1 answer:
Zolol [24]1 year ago
8 0

Given

f(x)=x^2+5x-36

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How to do graphs of quadratic functions ​
Anastaziya [24]

Answer:

The Graph of a Quadratic Function

A quadratic function is a polynomial function of degree 2 which can be written in the general form.

Step-by-step explanation:

Example: Graph: f(x)=−x2−2x+3.

Solution:

Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).

f(x)f(0)===−x2−2x+3−(0)2−2(0)+33

The y-intercept is (0,3).

Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.

f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01

Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).

Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.

x====−b2a−(−2)2(−1)2−2−1

Substitute −1 into the original function to find the corresponding y-value.

f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34

The vertex is (−1,4).

Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.

x −2  y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)

Our fifth point is (−2,3).

Step 5: Plot the points and sketch the graph. To recap, the points that we have found are

y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)

Answer:

4 0
2 years ago
Select two statements that are true about the equation y+4=-8(x-2)
bezimeni [28]

Answer:

Step-by-step explanation:

y + 4 = -8(x - 2)

I dont know the statements that u have but maybe I can guess one...or two

slope = -8

points used were : (2,-4)

y + 4 = -8(x - 2)

y + 4 = -8x + 16

y = -8x + 16 - 4

y = -8x + 12 ............slope intercept form

8x + y = 12 .......standard form

x intercept = (3/2,0)

y intercept = (0,12)

any of that answer ur question ?

5 0
3 years ago
Read 2 more answers
State two numbers such that the lesser number is 25% less than the greater number.
Lorico [155]
75 and 100.

It is 25% lesser because if you subtract 75 and 100 from each other, you get 25.
8 0
3 years ago
Read 2 more answers
The measure of angle 3 is 42°. What is the measure of angle 1 in degrees?
netineya [11]

Answer:

measure of angle 1

= 180° - 90° - 42°

= 48°

7 0
3 years ago
Y’all can you help on this?
Vladimir [108]
It would be option b . i can help you out if you’re still awake lol lol ok i is just ok i love you too much bye love.
8 0
2 years ago
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