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LoginUse the function f(x) to answer the questions: f(x) = 5x2 + 2x − 3 Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points) Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points) Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Math Secondary School in Math . 10 months ago
+10 pts
Solution:Part A:put F(x)=05x²+2x-3=05x²+5x-3x-3=05x(x+1)-3(x+1)=0(x+1)(5x-3)=0x+1=0, 5x-3=0x=-1, x=3/5Part B:f(x)=5x²+2x-3=5[x²+(2/5)x]-3=5[x²+(2/5)x+(4/100)-(4/100)]-3=5[(x+(2/10)]²-(4/20)-3=5[(x+(2/10)]²-64/20since f(x)=a(x-H)²+k; (h, k) is the VERTEX of f(x)so vertex of the graph of f(x) is going to be a minimum because a=5>0 and so the vertex (h, k)=(-2/10, -64/20)=(-1/5, -16/5).Part C:I WOULD use to graph of f(x) by the following steps:1. to draw the x-intercept of the graph of f(x).2. to draw the vertex of the graph of f(x).3. to check the condition that whether a>0 or a<0 to draw minimum or maximum, respectively of the graph of f(x).
Posted on 31 Jul 2024, this text provides information on Math related to Secondary School in Math. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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