Answer:
Axis of Symmetry is x = 2
Vertex is (2, -9)
X Intercepts are (5, 0) and (-1, 0)
Step-by-step explanation:
Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a
a=1
b=-4
c=-5
--4/2(1) = 2
Plugin to find the y value of the vertex.
2^2-4(2)-5=y
4-8-5=y
y = -9
The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2
Factor the equation to put into intercept form.
(x-5)(x+1) = y
The equation can be FOIL-ed to get back to standard form.
Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.
For (x-5) your intercept is (5, 0)
For (x+1) your intercept is (-1, 0)
The x intercepts are where the parabola will cross the x axis on the graph.
Answer:
The number is 2.
Step-by-step explanation:
If the number is x then:
x + 2x^2 = 10
2x^2 + x - 10 = 0
2x^2 - 4x + 5x - 10 = 0
2x(x - 2) + 5(x - 2) = 0
(2x + 5)(x - 2) = 0
x = 2.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (0, -5)
Point (4, 2)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Add/Subtract:
The answer is B. -32 this is a really easy question
