Find the vertex of the graph of the function. f(x) = (x - 5)2 + 10 (0, 5) (10, 0) (10, 5) (5, 10) question 2(multiple choice worth 1 points) find the vertex of the graph of the function. f(x) = 3x2 - 18x + 24 (4, -2) (-2, 4) (-3, 3) (3, -3) question 3(multiple choice worth 1 points) find the axis of the graph of the function. f(x) = 4x2 + 8x + 7 x = 3 x = -1 x = -2 x = 2 question 4(multiple choice worth 1 points) write the quadratic function in vertex form. y = x2 + 4x + 7 y = (x - 2)2 + 3 y = (x - 2)2 - 3 y = (x + 2)2 - 3 y =(x + 2)2 + 3 question 5(multiple choice worth 1 points) a projectile is thrown upward so that its distance above the ground after t seconds is h = -16t2 + 672t. after how many seconds does it reach its maximum height? 21 s 31.5 s 42 s 10 s question 6(multiple choice worth 1 points) find the zeros of the function. f(x) = 3x3 - 12x2 - 15x 1 and -5 0, -1, and 5 -1 and 5 0, 1, and -5

The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) , (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

       .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

Comparing this equation with equation (1),we get,

and

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

To make perfect square add , i.e., . Since there is factor 3 outside the parentheses, so subtract three times of 9.

Comparing this equation with equation (1),we get,

and

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

To make perfect square add , i.e., . Since there is factor 4 outside the parentheses, so subtract three times of 1.

Comparing this equation with equation (1),we get,

and

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

To make perfect square add , i.e., .

Therefore, the correct option is  4.

(5)

The given equation is,

It can be written as,

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

Use factoring method to find the factors of the equation.

Equate each factor equal to 0.

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )