For each quadratic function below use the method of completing the square or averaging the intercepts to rewrite it in graphing form. Then, state the axis of symmetry and give the vertex of each parabola. Try to use each method at least once.

*a. y=x2−4x+9*

*b. f(x)=x2−8x*

*c. y=x2+7x−2*

### Want to see the full answer?

Check out a sample Q&A here*star_border*

## Related Algebra Q&A

Find answers to questions asked by students like you.

Q: For each quadratic function below, use the idea of completing the square to write it in graphing…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Find the x-intercepts (if any) for the graph of the quadratic function. 2) f(x) = x2 + 16x + 47 Give…

A: The X-intercept is a point where the y-coordinate is 0. You can find the x-intercept of a function…

Q: consider the quadratic function f(x)=4x2-10x+1 the line of symmetry is? The vertical intercept is…

A: Click to see the answer

Q: For each quadratic function below, use the idea of completing the square to write it in graphing…

A: Part i, aGiven, fx=x2+6x+15

Q: Find the vertex for the parabola y = -4x2 + 20x + 160. Then determine a reasonable viewing rectangle…

A: Click to see the answer

Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

A: Click to see the answer

Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

A: Click to see the answer

Q: Find the vertex, zeros, the X-intercept(s), and the y-intercept of the quadratic function f(x) = 2(x…

A: Given: fx=2x-42-3 we know that at vertex derivative of given function is zero so, finding derivative…

Q: For the quadratic function f(x) =2x +2x+ 5, find (a) the vertex, (b) the line of symmetry, and (c)…

A: Click to see the answer

Q: For the quadratic function f(x) = 2x +2x + 5, find (a) the vertex, (b) the line of symmetry, and (c)…

A: Click to see the answer

Q: A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y=-x^ 2…

A: Click to see the answer

Q: A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y=-x^ 2…

A: Click to see the answer

Q: Find the vertex, zeros, the X-intercept(s), and the y-intercept of the quadratic function f(x) =…

A: Consider the following function: fx=2x+92+3 Compare above equation with y=ax-h2+k: h=-9, k=3 Hence,…

Q: Find the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.

A: Click to see the answer

Q: Determine the quadratic function. The vertex is (1,-1). The y-intercept is (0,2).

A: Click to see the answer

Q: For each of the following quadratic functions, find the vertex, y-intercept, and the x-intercept(s)…

A: Click to see the answer

Q: A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able…

A: Click to see the answer

Q: Sketch the graph of each quadratic function and compare it with the graph of y = x2. (a) f(x) = (x –…

A: Given f(x)=(x-4)2

Q: Please answer the question in the attachment.

A: The given function is f (x) = x2–8x–9… (1)Compare the given function with the quadratic equation.

Q: Find the vertex for the parabola y = 0.01x2 + 0.6x + 100. Then determine a reasonable viewing…

A: Given: y=0.01x2+0.6x+100 To determine: The vertex for the given parabola & graph of the given…

Q: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able…

A: Given: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be…

Q: Complete the square and find the minimum or maximum value of the quadratic function y=x^2+4x+5…

A: Click to see the answer

Q: sketch the graph of each quadratic function and compare it with the graph of y=x square. f(x) =x2…

A: Click to see the answer

Q: please answer the question in the attachment

A: Given function is: The vertex of the quadratic function occurs at x = -b/2aPlugging the values:When…

Q: Complete the square to re-write the quadratic function in vertex for. y = x´ + 10x + 8

A: Click to see the answer

Q: Use the vertex (h,k)and a point on the graph (x,y) to find the general form of the equation of the…

A: Click to see the answer

Q: Determine the quadratic function. The vertex is (1,3). The y-intercept is (0,-2).

A: to find the quadratic equation with vertex(1,3) and y intercept(0,-2)

Q: Determine, without graphing, whether the quadratic function f(x) = -2r? + 12x – 16 has a minimum…

A: Given: The quadratic function f(x) = -2x2+12x-16. To find: a. The Maximum or minimum value and where…

Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.

A: Consider the function: fx=-x2+4x+1 Complete the square. Take a common in ax2+bx+c to reduce into the…

Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.

A: To complete the square and find the maximum values of the given function.

Q: retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able to…

A: We use second derivative test to find out maximum revenue

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function f(x)=…

A: At the vertex x= -b/(2a) We compare f(x)= -x^2-4x+10 with f(x)= ax^2+bx+c a=-1 , b=-4 and c=10

Q: Find the vertex, y-intercept, and x-intercepts of the quadratic function, and then graph it. y =…

A: The given function is y=x2-4x-1.

Q: B. Determine whether the given table of values represents a quadratic function or not by getting the…

A: Lets consider table 1 take difference of y values Difference in y values are second difference is…

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: Click to see the answer

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = -9x2 +x

A: Given y=-9x2+x

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: Click to see the answer

Q: Find the zeros of the quadratic function f(x) = 3x2 + 5x + 1. What are the x-intercepts, if any, of…

A: Given fx=3x2+5x+1

Q: Sketch the graph of each quadratic function and compare it with the graph of y=x^2. A) g(x)=-x^2+4…

A: We draw the graph of each function one by one Graph of y=x2

Q: he revenue for a restaurant chain (in billions of dollars) for the years 2010 to 2015 can be…

A: Click to see the answer

Q: Convert the quadratic function g(x)=-4x^2+40x+4 to vertex form by completing the square. Identify…

A: Click to see the answer

Q: Rewrite quadratic in vertex for f(x) = 3x^_ 15x find f(x) and the vertex

A: To rewrite the quadratic equation in vertex form and to find vertex fx=3x2-15x

Q: Consider the quadratic function y=-x² +6x-2 (a) Graph the function on the grid to the right

A: The given quadratic function is y=-x2+6x-2

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: Click to see the answer

Q: Solve the quadratic function to vertex form, 5t^2-14t-3, and make a table of values for it then plot…

A: Consider the quadratic function, 5t2-14t-3 To write it in vertex form, complete the square as shown…

Q: Solve the quadratic function to vertex form, 5t^2-14t-3, and make a table of values for it then plot…

A: Click to see the answer

Q: The quadratic equation for the cost in dollars of producing automobile tires is given below where x…

A: Given:

Q: A goalie kicks a soccer ball directly into the middle of the feild it’s path can be molded by the…

A: Click to see the answer

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A: y=-4x2 -12x -3x To find : Maximum or minimum value .

Q: Complete the square to re-write the quadratic function in vertex form: y = x² + x – 3

A: Click to see the answer

*arrow_forward*

*arrow_forward*

*arrow_forward*