Convert the quadratic function g(x)=-4x^2+40x+4 to vertex form by completing the square. Identify the vertex and the axis of symmetry.

Q: (a) On the grid below, sketch a cubic polynomial whose zeros are 4, - 2, - 2 and passes through the…

A: The given question is solved below.

Q: After a change of variable, the quadratic form 2( * } ) = 3x} – 2x1x2 + 3x X2 may be written in the…

A:

Q: b) use the quadratic polynomial to estimate the outdoor temperature at 9:30 am, to the nearest tenth…

A: (b) Finding the quadratic polynomial Let's assume the quadratic polynomial ;  y = at2 +bt +c Finding…

Q: given a vertex of (-3,4) what is the equation of this quadratic in vertex form?

A: The point is (-3,4) To find the equation of the quadratic in vertex form.

Q: Find all zeros and write a linear factorization of the function x^3 + 4x - 5

A: I am attaching image so that you understand each and every step.

Q: Give three numerical examples of quadratic functions

A: To give three numerical examples of quadratic functions

Q: Write an equation for the polynomial graphed below 3- -5 -4 -3 2 4 3 -5+ y(x) =

A:

Q: Solve intergral, thank you

A: To evaluate: I=∫-10x2(x+1)12dx...(1)

Q: q(x)=-2x^2-4x+3 vertex form -2(x+1)^2+5 Find all x or y intercepts. write them in ordered pairs

A: q(x)=-2x^2-4x+3 vertex form -2(x+1)^2+5 Find all x or y intercepts. write them in ordered pairs

Q: a parkour runner leaps off of a building that is 102 ft high onto a building that is 90 ft high. the…

A: The answer is found in step-2

Q: Rewrite the quadratic function in vertex form and give the vertex.   f(x)=3x^2−9x   I wrote for…

A: We have to rewrite the given quadratic equation in the vertex form…

Q: Classify the quadratic forms as positive definite, positive semidefinite, negative definite,…

A: To classify the quadratic form x1^2 + x2^2 - x3^2 + 4x1x2, we will use the following steps: Step 1:…

Q: Atraintravels adistance of 480kmatauniform speed.If the speed hadbeen 8km/hrless, Thenit wouldhave…

A: At first we have to create the equation according to the instructions given in question.

Q: Complete the square of the following quadratic expression -3x² - 24x - 43 y=-3 (x+4)² +5 y = 3 (x +…

A:

Q: A trebuchet launches a stone toward a castle tower that is 200 feet away. It hits the target at 80…

A: Given y=-0.002x-2002+80                (1)

Q: Verify  (x+1)2= 2 (x-3) is a quadratic equation or not

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.