When asked to write f(x)=2x2+16x−7 in vertex form, Carlos showed his work by writing the following: Step 1: f(x)=2(x2+8x)−7 Step 2: f(x)=2(x2+8x+16)−7+16 Step 3: f(x)=2(x+4)2+9 Is Carlos correct in his reasoning? Explain your reasoning.

Q: 11. Find the zeros and verify the relation between the zeros and coefficients: (i)x² - 30 (ii) x²…

A: See this solution in below.

Q: B. Solve for the slope of the lim 1. (1, 2) and (3, 4) 2. (-1,-2) and (3, 4) 3. (1, 2) and (-3,-4)…

A: Definition use-         The slope of the line passing through two points (x1,y1) & (x2,y2)…

Q: Could you please describe the roles of a, h, and k in quadratic relations in vertex form: y = a(x -…

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Q: Determine the Values fx for which the funchion floo= $2x? -4 7x+2 x <2 26X<5 is dis continuous 7

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Q: f(x) =x* – 5x3 – 3x² + 6x – 2 a) 13) b) c)

A:

Q: Graph: √y > 1½ ½ x² - 2 - y > -x -x − 1 5 4 -5 -4 -4-3 -3-2-1 3 3 2 1 2+ 1 -1 -2 -3 -4 -5 Clear All…

A: I really hope you understood the whole thing! Best of luck!

Q: Find all zeros. 15) f(x)= 3x-13x + 13x-3x 16) (x) =x-64

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Q: plify and write in standard form − 8) (x² − 4x + 4) − (10x² – 2x³ – 7) .st r work in the sketch box…

A: Given query is to simplify the expression.

Q: f(x) = 2x2 + 12x + 4 graph the quadratic

A: We have to draw the graph of the function, A function is given as quadratic. Because its degree is…

Q: The quadratic relation y = ax* + bx +c can be transformed algebraically or the form into the form

A: Complete squaring method

Q: (2x-y² x + ydydx

A:

Q: Q4. Graph functions (by completing the square method as shown in the class). a) f(x) = -2x² – 8x – 5…

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Q: what is the vertex of V(x) = 325x2 – 4600x + 145000

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Q: Q4 (a) Find 2dx x2 + 8x + 17

A: Basic indefinite integral problem

Q: What is the vertex of the quadratic y = 6(x – 2)² + 10?

A: Given quadratic equation ;   y = 6 (x -2)2 + 10 On simplifying; y = 6( x2 +4 -4x) + 10 y =  6x2 -24x…

Q: Explain how the domain of g1x2 = 2x compares to thedomain of g1x - k2, where k Ú 0.

A: Given, gx=2x

Q: X+1

A: Using method of Rational Function.

Q: Write the quadratic function in the standard form y = a(x - h)² + k. y = x² - 6x Oy = (x+6)²-6 y =…

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Q: this equation is quadrfatic or expendential k(x)=4x+3

A: Consider the equation

Q: What are all the real zeroes of y = (x– 12)°–7? %3D

A:

Q: 4x3 + 10x2 + x – 9 | 4. Find (Make sure to show all your work.) J (x + 2)2(x2 + x + 1)"

A:

Q: What are the x-intercepts of the quadratic function f (x) = x² + 8x + 12? O -3 and -4 O 2 and 6 O 3…

A: For x intercepts put the value of f(x) = y=0 i.e.,                x2+8x+12=0…