f(x) = 6(x² + 12x – 45) -

Q: sketch its graph and find the vertex. g(x) =    1/2(x2 + 4x − 2)

A:

Q: Find the zeros of the quadratic functionf(x) = (x - 5)2 - 12. What are the x-intercepts, if any,…

A: fx=x-52-12 Consider, fx=0⇒x-52-12=0⇒x-52=12⇒x-5=±12⇒x-5=±23⇒x-5=-23  or  x-5=23⇒x=5-23  or  x=5+23…

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

A:

Q: Can a quadratic function have a range of 1 - q, q 2? Justifyyour answer.

A: Here we need to determine whether a quadratic function can have range -q,q or not.

Q: Use a graphing utility to graph the quadratic function. f(x) = -2x2 + 24x – 72

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Q: Write the quadratic function in the form a(x - h)2 +k by completing the square. Also find the vertex…

A: Given a function:

Q: The zeros of a quadratic function are where the graph crosses the y-axis. True O False

A: Zeros of a quadratic function are the values which are given by the x-intercepts, hence zeros are…

Q: Identify the vertex, axis of symmetry, and x-intercept(s). (If an answer does not exist, enter DNE.)…

A: Given : The quadratic equation is f(x) = −x2 + 2x + 6 .

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x Use this information to find the…

A:

Q: Use the vertex and intercepts to sketch the graph of the quadratic function f(x) = x2 + 6x + 3. Give…

A: The given quadratic function is fx=x2+6x+3. For x-intercept, substitute fx=0 in fx=x2+6x+3.…

Q: What are the real root(s) of the quadratic equation whose related function is graphed below? A (3,0)…

A: The x-intercepts of the graph are the roots of concerned quadratic equation.

Q: Consider the quadratic function f(x) = 4x2 - 16x + 1000. Solve; a. Determine, without graphing,…

A: Given Data The function is f(x)=4x2-16x+1000.   (a) Differentiate the function f(x)=4x2-16x+1000…

Q: Find the vertex of the graph of the quadratic function by completing the square or using the vertex…

A:

Q: Write the quadratic function g(x) = x2 + 2x + 1in standard form and sketch its graph. Identify the…

A: A quadratic function in general form is written as ax2+bx+c with a≠0 A quadratic function in…

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

A: The graph of the quadratic function is as shown in the figure below.

Q: Use a graphing utility to graph the quadratic function f(x) = x2 − 4x. Find the x-intercept(s) of…

A: Graph the function fx=x2-4x.   From the graph it can be seen that the x-intercepts are 0,0 and 4,0.

Q: Use this The quadratic function y = 2x + 3x-20 has zeroes at x = -4 and x 5 information to find the…

A: This question is based on mid-point Theorem. Mid-point of (a,b) and (c,d) is  x = (a+c)/2 , y =…

Q: Write the quadratic function in the form f(x) =a (x-h)*+k. Then, give the vertex of its graph. f() =…

A:

Q: Find the zeros of each quadratic function by factoring.What are the x-intercepts of the graph of the…

A:

Q: Use the vertex and intercepts to sketch the graph of the quadratic function f(x) = 6 - 4x + x2. Give…

A: Use the vertex and intercepts to sketch the graph of the quadratic function f(x) = 6 - 4x + x2. Give…

Q: Write the quadratic function in the form f (x) = a (x-h) +k. Then, give the vertex of its graph.…

A:

Q: Write the quadratic function g(x) = x2 − 8x in standard form and sketch its graph. Identify the…

A: given,        gx=x2-8x

Q: Use the vertex and intercepts to sketch the graph of the quadratic function f(x) = x2 + 4x - 1. Give…

A: Given         f(x)=  x2 + 4x - 1

Q: Graph the quadratic function f(x)=−4x 2−40x−84. Give the​ (a) vertex,​ (b) axis,​ (c) domain, and​…

A: f(x)=-4x2-40x-84       =-4(x2+10x+25-4)       =-4(x+5)2+16                   ...(1) Compare equation…

Q: Graph the quadratic function f(x) = -x2 - 2x + 1. Use the graph to identify the function’s domain…

A: Given: f(x)=-x2-2x+1 To find: Domain and range by using graph.

Q: Use a graphing utility to graph the quadratic function f(x) = 2x2 − 7x − 30. Find the x-intercept(s)…

A: To Determine: a) Use a graphing utility to graph the quadratic function b) Find the x-intercept(s)…

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x information to find the vertex…

A: We can find the vertex of the given quadratic equation as below.

Q: Use the quadratic formula to find the x- intercepts of y = x2 - 8x + 12 (Note: x is squared) Given y…

A:

Q: Use a graphing utility to graph the quadratic function. f(x) = -2x2 + 24x - 72

A:

Q: Use a graphing utility to graph the quadratic function f(x) = x2 − 8x − 20. Find the x-intercept(s)…

A: We graph the function as The x-intercepts of the graph are -2 and 10.

Q: Use the table of values that represent points on the graph of a quadratic function. By determining…

A:

Q: Activity 2. A hotel entrance makes a parabolic arch that can be represented by the quadratic…

A: Given:      y = - x2 - 8x + 24

Q: a. Consider the quadratic functionS(()) = 4x" - 3r- 10=0 Part A: Find the value of the discriminant…

A: For a quadratic equation of the form ax2+bx+c the discriminant is given by, d=b2-4ac. If  (i) d>0…

Q: If a quadratic function has an a-intercept at 6- v3, where is the other a-intercept? Write the exact…

A: a) Given a quadratic function has a root 6-3 To find the other root. B) Given a quadratic equation…

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

A: Given: f(x)=(x-2)2+3   Vertex Form of a quadratic equation: y=a(x-h)2+k where (h, k) is the vertex…

Q: The quadratic function f(x) = x +2x-8 is shown graphed on the grid below. (a) What values of x solve…

A:

Q: 3) Graph the Quadratic function g(x) = x² – 3x – 10 by finding the vertex, x- intercept and y -…

A: Given, The quadratic function  gx = x2-3x-10  We have to graph the function by finding the vertex,…

Q: The zeros of a quadratic function are where the graph crosses the x-axis. O True O False

A:

Q: Write the quadratic function in the form f(x) = a (x-h)-+k. Then, give the vertex of its graph. f(x)…

A:

Q: Write the equation of a quadratic function with roots at -4 and -2, and a vertex at (-3, 1). Write…

A: The quadratic equation with roots at -4 and -2 is given by: y=C(x+2)(x+4) where C is the constant.

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

A:

Q: I don't know what I'm doing wrong on this question I keep getting it wrong

A: The graph of the given quadratic function is as shown in the figure below.

Q: Consider the quadratic function f(x)=x2−1x−6. The line of symmetry has the equation:

A: Given quadratic equation is,f(x)=x2−1x−6.For any quadratic equation of the form ax2+bx+c, the axis…

Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. 7 =…

A:

Q: Use the quadratic function h to answer the questions. h(x)=2x^2−4x+7   What is the vertex of the…

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Q: 1.) Write quadratic funCtion standard a in the Vertex,X Horm, y=Ca-h)^2+K. Then Use and y intercepts…

A: We first write the given equation in standard form by completing the square.…

Q: 3. Algebraically find the vertex of the following quadratic equation. f(x) = 3x? – 12x – 1 and write…

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Q: Consider the quadratic function f(x) = -4x2 - 16x + 3 to solve, a. Determine, without graphing,…

A: Given information: The function is f(x)=-4x2-16x+3. Calculation: (a) It can be seen that the above…

Q: Write the quadratic function in standard form F(x)=-x^2+2x+6 Identify the vertex, axis of symmetry,…

A:

Q: Graph the quadratic function using the vertex and x-intercepts. Show your work and explain the steps…

A: Given quadratic equation, x2+5x-6=0 To graph this equation using vertex and x - intercepts.