number 55 please XRevathi Narasimhan, College Alge X← → C ✰ xyztextbooks.com/ebook/title/reva_caE CONTENTS82°FSunnyCATALOGX Revathi Narasimhan, College Alge X +4A 135. ^ λ38. f(x) = 3x² - 4x + 444. f(x)= 3x² 12x + 447. f(t)=16t² + 10050. h(t) = -5t + 3-t²In Exercises 41-56, find the vertex, axis of symmetry, y-intercept, and any x-intercepts of the associatedparabola. Find at least two additional points on the parabola and sketch.41. f(x) = 2x² + 4x - 142. f(x)=x² - 6x +143. g(x)=x² + 4x353. g(t) = ² +t+156. h(t) 1- - 1/2 tSECTION: 3.1t-1²00. л(л) - -л тата39. f(x)=x² + 2x + 145. h(x)=x²-3x + 548. f(x) = 10x² - 6551. f(s) = -2s² + 3s +154. f(t)=-1²-131. J^) — LA TATI40. f(x)= x² + 4x461. f(x) = -0.2x² + 0.4x - 2.21 1x + 164. g(x)=x² +63PAGE 23846. h(x)=x²+x-249. G(x) = -6x + x² + 53452. g(t) = 31² - 6t55. f(t) = 1/3In Exercises 57-64, find the vertex and axis of symmetry of the associated parabola. Sketch the parabola.Find the intervals where the function is increasing or decreasing and find the range.58. h(x)=x² + 6x - 759. f(x) = 2x² + 4x357. f(x)= x² + 10x - 860. g(x) = -4x² - 8x + 51 1x-2262. f(x) = 0.3x2² +0.6x + 1.3.63. h(x) = =x^² +4- 3t+1²65. The graph off opens downward, and has x-intercepts (3, 0) and (-1,0).66. The graph of fopens upward, and has x-intercepts (-2, 0) and (4, 0).In Exercises 65-68, find a quadratic function with the given properties. There can be more thanone answer.aCCVIDEOSMr. Hampton▶ PlayBOOKSHELFSUPPLEMENTSf(x)=-3x² - 6x +2Vertex: (-1,5)Points: (-2.29,0) 0.29,0),(0,2).(-2,2)) Inc: (00,-CCShelby▶ Play- 00, -1) + Range: (-∞0,".ao,Dec:F190)ESPROGRESSe. Use the graph to find intervals where f is increasing ordecreasing and find the range.CCBreylor▶ PlayMath-0:00 1xTOOLS IIIСс []españolCCJulieta▶ PlayX6:52 PM10/20/202220

Question

number 55 please XRevathi Narasimhan, College Alge X← → C ✰ xyztextbooks.com/ebook/title/reva_caE CONTENTS82°FSunnyCATALOGX Revathi Narasimhan, College Alge X +4A 135. ^ λ38. f(x) = 3x² - 4x + 444. f(x)= 3x² 12x + 447. f(t)=16t² + 10050. h(t) = -5t + 3-t²In Exercises 41-56, find the vertex, axis of symmetry, y-intercept, and any x-intercepts of the associatedparabola. Find at least two additional points on the parabola and sketch.41. f(x) = 2x² + 4x - 142. f(x)=x² - 6x +143. g(x)=x² + 4x353. g(t) = ² +t+156. h(t) 1- - 1/2 tSECTION: 3.1t-1²00. л(л) - -л тата39. f(x)=x² + 2x + 145. h(x)=x²-3x + 548. f(x) = 10x² - 6551. f(s) = -2s² + 3s +154. f(t)=-1²-131. J^) — LA TATI40. f(x)= x² + 4x461. f(x) = -0.2x² + 0.4x - 2.21 1x + 164. g(x)=x² +63PAGE 23846. h(x)=x²+x-249. G(x) = -6x + x² + 53452. g(t) = 31² - 6t55. f(t) = 1/3In Exercises 57-64, find the vertex and axis of symmetry of the associated parabola. Sketch the parabola.Find the intervals where the function is increasing or decreasing and find the range.58. h(x)=x² + 6x - 759. f(x) = 2x² + 4x357. f(x)= x² + 10x - 860. g(x) = -4x² - 8x + 51 1x-2262. f(x) = 0.3x2² +0.6x + 1.3.63. h(x) = =x^² +4- 3t+1²65. The graph off opens downward, and has x-intercepts (3, 0) and (-1,0).66. The graph of fopens upward, and has x-intercepts (-2, 0) and (4, 0).In Exercises 65-68, find a quadratic function with the given properties. There can be more thanone answer.aCCVIDEOSMr. Hampton▶ PlayBOOKSHELFSUPPLEMENTSf(x)=-3x² - 6x +2Vertex: (-1,5)Points: (-2.29,0) 0.29,0),(0,2).(-2,2)) Inc: (00,-CCShelby▶ Play- 00, -1) + Range: (-∞0,&#34;.ao,Dec:F190)ESPROGRESSe. Use the graph to find intervals where f is increasing ordecreasing and find the range.CCBreylor▶ PlayMath-0:00 1xTOOLS IIIСс []españolCCJulieta▶ PlayX6:52 PM10/20/202220

Accepted Answer

The given equation is f(t)=13-3t+t2
We have to sketch the graph of the function.

5. f(t) = − 31 + - 3