The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
The standard form of a quadratic equation is:
y = ax² + bx + c
The graph of a quadratic equation is a parabola.
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
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<h2>Explanation:</h2><h2></h2>
Hello! Your figures are missing, so I could help you in a general way. The Slope-intercept form of the equation of a line is given by the form:
Case 1:
If the slope is positive, we will have a line as the form illustrated in figure 1. So as x increases y also increases.
Case 2:
If the slope is negative, we will have a line as the form illustrated in figure 2. So as x increases y decreases.
Case 3:
If the slope is zero, we will have a line as the form illustrated in figure 3. here we have a constant function.
Case 4:
m: undefined
If the slope is undefined, we will have a line as the form illustrated in figure 4.
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Answer:
2+i or 2-i (D)
Step-by-step explanation:
First you use the quadratic formula. X= (-b +/- )/2a
a=1
b=-4
c=5
X= (4 +/- )/2
X=(4 +/- )/2
The square root of -4 is 2i. i=√-1. Therefore 2i= 2√-1 .If you simplify that, it becomes √-4i.
X= (4+/- 2i)/2
X= 2+/-i
X= 2+i or 2-i