Find a cubic function whose x-intercepts are 3, 1 and -4 passes through the point (4, 72). The value of the leading coefficient is:

Q: What is the y-intercept for the cubic function: 4x3 – 3x2 + 7? O (0,7) O (7,0) O (0,4) O (0.3)

A: Given

Q: FCKS x? + x-7

A: Given: f(x) = x2 + x - 7 Convert into the form of f(x) = (x - h)2 + k

Q: Find the point on the line y = 2x + 3 that is closest to the origin.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: The slope of the secant line of the square root function at x=4 and x=9 is [a], and the y-coordinate…

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Q: Find the area of a triangle bounded by the y-axis, the line f(x)=10−2x, and the line perpendicular…

A: y=10-2x here coefficient of x is -2 so the slope of the line is m=-2 and the perpendicular line…

Q: Let f(x)=3(x+2)(x+3). What are the coordinates of the vertex?

A: X coordinate of the vertex=-b/2a Y coordinate of the vertex=putting value of x coordinate in f(x).

Q: Find the vertex of the quadratic f(x) = x2 + 4x + 3 In the box, type the k value

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Q: Use the graph of the transformation of the square root function to find a formula for the function.…

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Q: Find the point on the line y = 2x + 8 that is closest to the origin.

A:

Q: Find the point on the line  y = 4x + 3  that is closest to the origin

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Q: Use the graph of the quadratic function f to write its formula as f(x)= a(x - h) + k. 2- -> -4 1-2…

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Q: Write the quadratic function in  f(x) = a(x − h)2 + k form whose points on the graph are (-1,-5)…

A: The given function is- fx=ax-h2+k Since, fx=y Hence, the quadratic function can also be written as-…

Q: Find the point on the line y = 3x + 4 that is closest to the origin.

A: Given, the line equation

Q: 2, Determine the equation of the polynomial function y = f(x) shown II Express your answer in…

A:

Q: Find all points on the y-axis that are 6 units from the point (4, - 3).

A: Consider the point A(4, - 3) which is 6 units from the point B(0,y).

Q: the zeros  of a cubic function are -1,-2/3,and 5. what are all the factors of (x).

A:

Q: Determine the slope 3(x2+y2)2=100xy at the point (3,1)

A:

Q: Find a formula for the quadratic function whose graph has a y-intercept of  y=11 and x-intercepts at…

A: To find the expression (second degree in x) for y from the given data

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

Q: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

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

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

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Q: Sketch the graphs of the following cubic functions, showing x-axis intercepts  a y = −(2 − x)(x +…

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Find expressions for the quadratic functions whose graphs are shown. f(x)= g(x) 11 y

A: Given :   f(x) Vertex ( h , k ) = ( 7 , 0 ) put point ( x ,y ) =( 8 , 2 )

Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: Determine an equation for the family of cubic functions, in simplified form, with the following…

A: Given zeros are 2±3 and -4. We have to find the equation for the family of cubic function. Here, the…

Q: Differentiate the function.  v = t2 - 1 / fourt root of t3

A: Given function is v=t2-1t34. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Determine the equation of the quadratic function using the following data points (0,12), (1,6) and…

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Q: Find the point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

Q: Write the equation for a quadratic function f(x) with roots at r = – 3 and r = – 8 that also passes…

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Q: Find a quadratic function f whose graph is shown. f(x) : y 1아 5 (2, 3) -10 -5 II

A: Given a parabola whose graph is shown below  The given parabola is symmetric to x=2 and the vertex…

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

A:

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Write the quadratic function in the form f (x)= a (x– h)²+ k. Then, give the vertex of its graph.…

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Q: Let f(x)=2(x-2)(x+4). What are the coordinates of the vertex?

A:

Q: Determine, in Factored and Standard form, the equation for the quadratic function that has…

A: The quadratic function is a second-degree polynomia in which the highest power of the variable term…

Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

A:

Q: Use the derivative to find the vertex of each parabola y = -2x2 + 12x - 5

A: y=-2x2+12x-5

Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

A:

Q: In the xy plane, the graph of the function f(x) = x2 + 5x + 4 has two x-intercepts. What is the…

A: x- intercepts are the points where the function touches the x-axis. So if the function touches the…

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

A:

Q: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

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:

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

A: The quadratic function one have to use here is y=a(x-h)2+k

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

A:

Q: Find the vertex, x and y intercepts of the following quadratic functions: f(x)=x^2+4x+3 PLEASE SHOW…

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.