# ALGEBRA

Function 1:
f(x) = 4x2 + 8x + 1

Function 2:
x -2 -1 0 1
g(x) 2 0 2 8

Which function has the least minimum value and what are its coordinates?
Function 1 has the least minimum value and its coordinates are (−1, −3).
Function 1 has the least minimum value and its coordinates are (0, 1).
Function 2 has the least minimum value and its coordinates are (−1, 0).
Function 2 has the least minimum value and its coordinates are (0, 2).

1. 👍 0
2. 👎 0
3. 👁 1,129
1. function1 is a parabola with a vertex of (-1,-3) so its minimum is -3
since function2 shows a minimum value of 0

the first statement is true
min value of -3 at the point (-1,-3).

1. 👍 0
2. 👎 0
2. the minimum of function 2 is 0 at (-1,0)

for the first function 1

y = 4 x^2 + 8 x + 1

4 x^2 + 8 x = y - 1

x^2 + 2 x = (1/4) y - 1/4

x^2 + 2 x + 1 = (1/4)y + 3/4

(x+1)^1 = (1/4) (y+3)
so vertex at (-1, -3)

SO A

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math I need help ASAP!

1) Identify the function rule shown in the table. Function Table n - 3, 4, 5, 6 y - 2, 1, 0, -1 a. y = 2 + n b. y = 5n c. y = 5 - n d. not enough information ** 2) What is the values of the function y = -2x - 4 for x = 0,1,2 and

asked by Talea on April 7, 2015

true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent

asked by Tina on October 31, 2014
3. ### Algebra

Kyle's Functions Mr. Hawkins gave Kyle two quadratic functions to compare. Function 1 f(x) = -(x-1)^2+9 Function 2 (Its a Table) x | g(x) -1 | 0 -0.5 | 3.75 0 | 6 0.5 | 6.75 1 | 6 1.5 | 3.75 2 | 0 QUESTIONS: Part 1 from "Kyle's

asked by Sarah on June 20, 2019
4. ### Math

A quadratic function has a vertex of (3,-6) and the point (-1,10) lies on the graph of the function. Write the function in standard form. If you could help me with this question, that would be great. Thanks in advance.

asked by Heaven on April 24, 2016
5. ### Math

Which description is correct for the x-intercept(s) of Function A and Function B? Function A: x g(x) −2 0 3 7 5 0 −1 2 0 −2 Function B: f(x)=|x|−3 A.Both functions have one negative and one positive x-intercept. B.

asked by Hi on March 10, 2020
1. ### Math

If the graph of the function h defined by h(x)= -4x2-1 If translated vertically downward by 3 units, it becomes the graph of function f. Find the expression for f(x)

asked by Leo on April 9, 2020
2. ### Math2

A qulliq is an oil lamp that functions as the main source of light and heat for an igloo in the Inuit culture. It is made of soapstone shaped as a parabolic bowl that contains seal blubber for the oil. It is lined with Arctic wool

asked by Heaven on May 30, 2016
3. ### College Algebra

The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function y=a(x-(-2))^2+4 y=a(x+2)+4 2=a(x+2)+4 -4 -4 -2=a(0+2)/2 -1+ a function -1(x+2)+4 ? Im not

asked by Anonymous on June 12, 2014
4. ### Pre-Calc

A quadratic function has its vertex at the point (-5,-2). The function passes through the point (-8,-10). Find the quadratic and linear coefficients and the constant term of the function.

asked by Caleb on September 24, 2014
5. ### Pre cal

Fine a third degree polynomial function f(x) with real coefficients that has 4 and 2i are zeros and such that f(-1) =-50 4 21 -2i (x-4)(x-2i)(x+2i) (x-4)(x2+4) x3-16+4x-4x2 (x3-4x2+4x-16) -50=a(-1-4-4-16) -50=.25 a=2 Not

asked by Sally on September 4, 2016